With the rank you're mentioning I'm afraid you have less chances of getting into an NLU if you fall in general category. But you can definitely check out for the following colleges 

• Ideal Institute of Management and Technology 
• Fairfield Institute of Management and Technology 
• JIMS Engineering Management Technical campus, school of Law 
• ICFAI Dehradun 
• ICFAI law school Hyderabad 
• MS Ramaiah college of law 
• Christ University Bangalore 

Hey.
Here is a list of NLUs and their respective cut offs for the general category for admission through CLAT in the previous year. You can expect a similar range of cut off ahead too. There is reservation for women in a few NLUs. But there ia not much difference in the ranks. With 3400 along with women reservation you don't seem to have much chances for NLUs.

National Law School of India University
66
National Academy of Legal Studies and Research
135
National Law Institute University
386
West Bengal National University of Judicial Sciences
260
National Law University Jodhpur
376
Hidayatullah National Law University
657
Gujarat National Law University
494
Ram Manohar Lohiya National Law University
668
Rajiv Gandhi National University of Law
924
Chanakya National Law University
1186
National University of Advanced Legal Studies
928
National Law University Odisha
1167
National University of Study and Research in Law
1255
National Law University and Judicial Academy
1556
Tamil Nadu National Law School
1571
Damodaram Sanjivayya National Law University
1432
Maharashtra National Law University, Mumbai
503
Maharashtra National Law University, Nagpur
1532
Maharashtra National Law University, Aurangabad
1588

NLU Odisha

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