3400 is intermediate
At what point is a player considered to be an intermediate?
Somewhere around 1200-1400 OTB would be a sensible starting point for informally classifying them as "intermediate".
I appreciate outside the "world of chess" ie. the mass public (most of whom do not have a lot of experience of chess) the average rating (at least online) is somewhere around 800. But the average player is still a beginner, relatively speaking, as far as the complexity of the overall game is concerned.
i think 2400 blitz on this site is intermediate