At rank 38064 you will get some good colleges but you will have to compromise with the branches you will get lower branches, but if you don't want to compromise and want to get upper branches or core branches then you will have to go for some lower colleges.

The admission cutoffs are usually released by JoSAA on behalf of the colleges that are participating in the counseling process. According to the joSAA given below are opening and closing ranks of some NITs ( open category only)

Opening Rank

Closing Rank

NIT Agartala

4,080

25,737

NIT Calicut

470

17,731

NIT Delhi

707

13,423

NIT Durgapur

7,376

21,206

NIT Goa

2,574

18,383

NIT Hamirpur

5,200

12,743

NIT Jamshedpur

3,318

13,041

NIT Kurukshetra

874

8,916

NIT Manipur

10,577

38,742

NIT Meghalaya

12,185

34,830

NIT Mizoram

8,929

34,658

NIT Nagaland

12,466

40,511

NIT Patna

6,861

18,903

NIT Puducherry

5,377

22,226

NIT Raipur

7,280

17,664

NIT Rourkela

1,005

6,091

NIT Sikkim

9,446

31,946

NIT Silchar

2,797

15,557

NIT Srinagar

3,411

29,643

NIT Surathkal

11

4,468

NIT Tiruchirappalli

1,056

15,416

NIT Uttarakhand

5,535

19,466

NIT Warangal

33

2,100

Also I prefer u to visit joSAA website for cut off of all colleges.

Hope it helps.