3785972736 has 352 divisors, whose sum is σ = 12875466240. Its totient is φ = 962002944.

The previous prime is 3785972731. The next prime is 3785972767. The reversal of 3785972736 is 6372795873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3785972731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8106775 + ... + 8107241.

Almost surely, 2^3785972736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437733120).

3785972736 is an abundant number, since it is smaller than the sum of its proper divisors (9089493504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3785972736 is a wasteful number, since it uses less digits than its factorization.

3785972736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 57.

The square root of 3785972736 is about 61530.2587025278. The cubic root of 3785972736 is about 1558.5682590245.

The spelling of 3785972736 in words is "three billion, seven hundred eighty-five million, nine hundred seventy-two thousand, seven hundred thirty-six".