3990792000 has 224 divisors, whose sum is σ = 14192365824. Its totient is φ = 982272000.

The previous prime is 3990791971. The next prime is 3990792019. The reversal of 3990792000 is 2970993.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3990792000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305605 + ... + 318395.

It is an arithmetic number, because the mean of its divisors is an integer number (63358776).

Almost surely, 2^3990792000 is an apocalyptic number.

3990792000 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 3990792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096182912).

3990792000 is an abundant number, since it is smaller than the sum of its proper divisors (10201573824).

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

3990792000 is a wasteful number, since it uses less digits than its factorization.

3990792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12834 (or 12814 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 3990792000 is about 63172.7156294551. The cubic root of 3990792000 is about 1586.1820503680.

The spelling of 3990792000 in words is "three billion, nine hundred ninety million, seven hundred ninety-two thousand".