I would only call here, Villain is likely to have an overpair although only overcards can't be shut out, since a lot of ppl CB on a board like this. You're still behind to KK and AA so your K and A outs might not be any good. At this point you can only beat/tie overcards. If you call this 1600 bet you still have 3000 to work with if the turn misses you in any way.

Edit: Reraise preflop, AKs is a very good hand