I am using 3.5.7. I would say to any group to use that version instead of 3.6.2. I am the tech support for a not-for-profit organization and I have installed the 3.5.x line on the laptop of our secretary. I also have installed LO on many other laptops and desktops for users that rely on their software to not have any issues for them doing their work.
I have been using LO since its first release and I keep the idea of "suitable version for" in mind when I give a copy to a person, organization, or business. Right now, 3.5.7 is the only version I will give out. I made the changes in my distribution DVD to reflect the changes from 3.5.6 to 3.5.7. In a few days that DVD will have its ISO file [so your can burn your own copy] available for download on the LO CD/DVD pages. It is the LibreOffice North American Community DVD Project's DVD.
"LO-3.5.7_English-NA-DVD_all-platforms_multi-lang_plus-extras_v1_oct-18-2012.iso"
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There is some "movement" to call 3.5.7 the "latest Conservative Branch version".
Also we could call 3.6.2 through 3.6.4 the "Cutting Edge Branch version".
When 3.6.4 or 3.6.5 comes out, then that branch/line would become the conservative version and the new 3.7.x branch will be the cutting edge one.
I would not use any version for a business or organization till it has an ending of .4 or .5.
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ALSO
there are many, many, dictionaries and extensions you can download to improve your experience. LO has an English spell checking dictionary, but there is one that has over 773,000 words in itwith over 140,000 reference Thesaurus included.
http://libreoffice-na.us/English-3.5-installs/add-on-dictionaries-large-list/kpp-american-english-dictionary-plus-tech-words-773407-words.oxt
There are British and Canadian versions as well with over 600,000 words and built-in Thesaurus.
This is a one-page listing of all the dictionaries that I foundfor LO.
http://libreoffice-na.us/English-3.5-installs/dictionary.html
This is the official extension center for LO, where you can find many different extensions and dictionaries.
http://extensions.libreoffice.org/extension-center
This is the Template Center
http://templates.libreoffice.org/template-center
This is a list of some templates that may not be listed on the official LO pages, since some are no longer supported or available from other online sources.
http://libreoffice-na.us/English-3.5-installs/templates.html
Now that there was an announcement that there are over 60 million users in 100 languages, plus the French Prime Minister mentioned LO in a "speech", LO may get even more users world-wide.