Suzuki won't have a part number for the entire diff assembly, they will have a bunch of numbers for all the bits & pieces that together make up the diff.
If you still have access to the diff that was removed, have someone examine the ring & pinion gears - those are what you really need - if they are in good condition, you can have them swapped over to the replacement - this will come at a cost though, because it is a specialist task.
If the gears are damaged, try to count the teeth - ring gear teeth/pinion gear teeth = ratio to be matched.
As another option, can you get a front & rear diff from the same vehicle - that way you'll get a matched pair.