Hey congrats for scoring good rank in jee mains. With 3578 rank you can easily get admission to NITs. As per the previous years cut off there are good chances to get most preferred branches like CSe and ECE in NIT. Get MNIT, Allahabad with cse is a little luck game but you have option to choose any other branch you want. I am providing you the link for previous year cut off for NIT, it will help you to choose the branch and which NIT you prefer: https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits. You can view the cut off ranks as per various categories like Gen SC, ST, OBC. It also provides the cutoffs on the basis of Home state and other state candidates.

Other than this you can use the career 360 college predictor to predict the best colleges available at your rank. For this you need to mention your rank, category, home state and branch and will provide you all the choices.