The syntax error occurs because [3601:7200] is not valid python. I assume you are trying to create a new array of numbers to pass as the obj parameter for the delete function. You could do it this way using something like the range function:
np.delete(arr, range(3600,7200), axis=2)
keep in mind that this will not modify arr, but it will return a new array with the elements deleted. Also, notice I have used 3600 not 3601.
However, its often better practice to use slicing in a problem like this:
arr[:,:,:3600]
This gives your required shape. Let me break this down a little. We are slicing a numpy array with 3 dimensions. Just putting a colon in means we are taking everything in that dimension. :3600 means we are taking the first 3600 elements in that dimension. A better way to think about deleting the last have, is to think of it as keeping the first half.