3692, 738, 584, 232, ???

That is quite a sequence. The key is look at the numbers.

The next digit in the sequence is the multiplication of the initial digits of the previous number by its final digit. Don't understand? Let me explain:

Our first number is 3692

The initial digits are = 369
The final digit = 2

Initial digit x Final Digit = 369 x 2 = 738!

Our second number is 738

The initial digits are = 73
The final digit = 8

Initial digit x Final Digit = 73 x 8 = 584!

Our third number is 584

The initial digits are 58
The final digit is 4

Initial digit x Final Digit = 58 x 4 = 232!

I'm sure you can figure out the next number in the sequence.

TIP: If you ever need help in number sequences, go to:
http://www.research.att.com/~njas/sequences/
It will have pretty much every sequence you'd every be asked.

Hope that helps!