3 days -- but I really, really wish I had taken more time.
It was late May, and my neurotic friend told me she was going to apply right when AMCAS opened. I replied, "When's that?"
"Oh, a couple days..."
"SHDIAWDHAWO @#$@#$@#"
So I rushed to pump out a personal statement, got my best friend and brother to proofread it, and submitted my AMCAS. I think it was just dumb luck that my PS was coherent and intelligible ...