I got 34000 rank in SRM JEE exam 2018. Which SRM College I will get with this rank and which branch?

Well, that isn't a good rank. Now about the department or branch, you can expect EIE, mechatronics, biotech, nanotech, chemical. EEE will be a tough shot. Rest CSE, IT, Software, ECE, mechanical won't be available. Better you try in some other college or try your luck in a different campus.

You can get any campus you liked based on your rank but for course you had to wait until the counselling you can able to know about the course and campus once you entered in counselling. Course depends upon the selection of students.