3902788656 has 300 divisors, whose sum is σ = 12421691568. Its totient is φ = 1182325248.

The previous prime is 3902788633. The next prime is 3902788657. The reversal of 3902788656 is 6568872093.

It is a happy number.

3902788656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3902788657) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22559386 + ... + 22559558.

Almost surely, 2^3902788656 is an apocalyptic number.

3902788656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3902788656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210845784).

3902788656 is an abundant number, since it is smaller than the sum of its proper divisors (8518902912).

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

3902788656 is a wasteful number, since it uses less digits than its factorization.

3902788656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3902788656 is about 62472.3031110587. The cubic root of 3902788656 is about 1574.4359994185.

The spelling of 3902788656 in words is "three billion, nine hundred two million, seven hundred eighty-eight thousand, six hundred fifty-six".