If you turn it in today or tomorrow you will still be pretty early. Granted there are many ahead of you already so it will probably take them ~4 weeks to verify you (it took them a little over a week for me and I submitted 6/6). As others have said, it is more a matter of being complete early at the schools you are applying to. Regardless of your stats, just get everything in ASAP. I learned the hard way last year that applying early really is one of the most important things. Now all of my friends are in programs, and I am stuck working in a lab, writing more essays and paying more fees to get in. Learn from my mistakes and apply early. Good luck!!