3932990880 has 576 divisors, whose sum is σ = 16361170560. Its totient is φ = 784982016.

The previous prime is 3932990821. The next prime is 3932990891. The reversal of 3932990880 is 880992393.

3932990880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5809102 + ... + 5809778.

It is an arithmetic number, because the mean of its divisors is an integer number (28404810).

Almost surely, 2^3932990880 is an apocalyptic number.

3932990880 is a gapful number since it is divisible by the number (30) 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 3932990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180585280).

3932990880 is an abundant number, since it is smaller than the sum of its proper divisors (12428179680).

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

3932990880 is a wasteful number, since it uses less digits than its factorization.

3932990880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 3932990880 is about 62713.5621695977. The cubic root of 3932990880 is about 1578.4868919582.

The spelling of 3932990880 in words is "three billion, nine hundred thirty-two million, nine hundred ninety thousand, eight hundred eighty".