Alright, let's work through 3696 times 9678 step by step
3696 × 9678 = 9678 × (3696)
+ 9678 × 6 which equals 58068
+ 9678 × 90 yielding 871020
+ 9678 × 600 giving us 5806800
+ 9678 × 3000 that results in 29034000

= 35769888
