The question is strangely phrased because of the "product of" portion. The term "product" refers to the result of a multiplication. So we'd need 2 or more numbers to multiply.
I'm assuming your teacher asked "what is 3762 in expanded form?"
If so, then we can expand it out like this
3762 = 3000 + 700 + 60 + 2
and an equivalent form is
3762 = 3*10^3 + 7*10^2 + 6*10^1 + 2*10^0
The coefficients 3,7,6,2 form the original number itself. Take note that the exponents count down (3,2,1,0) with each base being 10. This is where the "base 10" notation comes from. We could replace each 10 to deal with other bases such as base 2 (binary) or base 16 (hexadecimal).