Hello dear !

As you have mentioned your all India rank is 3209 and OBC rank is 1037 in nimce

So here we are providing the list of NITs having their nimcet cutoff in the range of your obtained rank

Name of NIT.        SC.           OBC.         ST

 NIT Agartala-.    4263          1711.        Nill

NIT Allahabad-.  2381.         576.         4893

NIT Bhopal-.       3159.         834.         4892

NIT Raipur -.       4248.        1709.        4812

NIT Warangal-.  1222.         300.          2448

So as per your obtained OBC rank you can expect your admission in the above mentioned NITs 

Hopefully we resolve your query, In case of any doubt you can get back to us