Hello Aspirant,

Congratulations, as you've secured good rank in jee mains 2021. With this rank(3707) you can get seat in top nit based on general category. Here are the cutoffs of some top nits for different branches:

NIT Tiruchirappalli

Civil engineering    -     38686

CSE                  -     4728

ECE                  -     12916

Mech                 -     17694

eee                  -     12916

NIT Warangal

Civil engineering    -     18565

electrical           -      44157

ece                  -     34539

electrical & electronics                -     16406

cse                  -      49673

NIT Surathkal

Civil engineering    -      29325

cse                  -      3115

ece                  -      8383

mech                 -      14004

eee                  -      11204

NIT Patna

Civil engineering    -      39776

cse                  -      15617

electrical           -      30306

ece                  -      24945

mech                 -      35449

You can also use the JEE Main College predictor tool given below to know your chances of best admission possibilities through JOSSA & State level Government & private colleges.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

All the best!

Hope this helps you