3990763920 has 480 divisors, whose sum is σ = 15142280832. Its totient is φ = 864230400.

The previous prime is 3990763891. The next prime is 3990763939. The reversal of 3990763920 is 293670993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3990763920.

It is a congruent number.

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, 128734305 + ... + 128734335.

Almost surely, 2^3990763920 is an apocalyptic number.

3990763920 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 3990763920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571140416).

3990763920 is an abundant number, since it is smaller than the sum of its proper divisors (11151516912).

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

3990763920 is a wasteful number, since it uses less digits than its factorization.

3990763920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 48.

The square root of 3990763920 is about 63172.4933812177. The cubic root of 3990763920 is about 1586.1783301294.

The spelling of 3990763920 in words is "three billion, nine hundred ninety million, seven hundred sixty-three thousand, nine hundred twenty".