If I recall, a certain user created a universal Gigaquadrant Time Clock that shows the year that the Fictionverse is set in, however most users do not bother to really confine themselves to the time the clock states its in, as waiting 5 years for your faction to actually form in-canon isn't really efficient. Right now the clock says the date is 2848.
In general, we prefer to use a time period rather than a specific year or date. So, the fictionverse is set in the mid 2800s (around the 2840s-2860s) but it's always up to the interpretation of editors. In general you shouldn't really be worrying about "what year it is", as it doesn't really matter that much in the grand scheme of things.