I submitted my secondary 9/16 and my letter packet was sent the following week, so they should have had all of my stuff by the end of sep. However, I was an Aug MCATer so my file probably wasn't considered complete until those scores were received mid-Oct. My stats are 3.75 GPA (3.45 BCPM) and 32 MCAT, in case you were wondering (and I've gotten several PM's asking, so I know some of you are).
Also, MSSM does say to call for status checks M & W, 2-4 pm EST. I don't know how helpful it is to call though, I called yesterday and was told my file was under review and I would hear something "in the next few weeks", then ~1/2 hour later I received the e-mail invite. Who knows?