Anmol with 4000 rank in JEE Advance you will have lots of options in your bag. First thing what you need to decide is whether you want the brand name i.e. you want to go into one of the old IITs or you need a very good branch which you can get in some of the old IITs. 

With this rank, you can get branches like Chemical Engineering, Civil Engineering etc. from IIT Guwahati, IIT BHU and all the branches except computer science from some of the good new IITs like ISM Dhanbad, IIT Indore, IIT Hyderabad, IIT Gandhinagar etc. plus all the branches from ultra new IITs like IIT Jammu, IIT Goa, IIT Trichy etc.

If you start looking for admission in old IITs then you will have options like Textile Engineering, BioTechnology from IIT Delhi, BioTechnology, Material Science from IIT Kanpur, Metallurgical and Naval Architecture from IIT Madras, Agricultural, Metallurgical, Mining and Naval Architecture from IIT Kharagpur, BioTechnology, Chemical Engineering, Civil, Metallurgical, Polymer science and Industrial engineering from IIT Roorkee.

To get a better and clear understanding you can go through the link given below which shows the cut-off rank of each category in each branch of each IIT:

• https://engineering.careers360.com/articles/jee-advanced-cutoff-for-iits

Feel free to ask if you have any more queries. All the best!!