- Edited
Just count the teeth. Put a marker pen line on a tooth then turn it counting as you go.
My money is on 39 teeth, and 11 teeth on the pinion (from the 39 & 11 marking). Making it a 3.54, which is close to your estimation.
In future there is no need to remove the cover, which is clearly too late here, just lock one axle and turn the pinion until the other axle completes two revolutions while counting the pinion revolutions. i use a tab of masking tape on the pinion/uni joint and on the axle/tyre to keep track of the rotations. Seems you may have done this. I have done it many times and it can be done with the diff in the car, just pop it into neutral and lift one wheel up, it only takes a few minutes.