3900792000 has 672 divisors, whose sum is σ = 15611222016. Its totient is φ = 854784000.

The previous prime is 3900791989. The next prime is 3900792023. The reversal of 3900792000 is 2970093.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 36455947 + ... + 36456053.

Almost surely, 2^3900792000 is an apocalyptic number.

3900792000 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 3900792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805611008).

3900792000 is an abundant number, since it is smaller than the sum of its proper divisors (11710430016).

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

3900792000 is a wasteful number, since it uses less digits than its factorization.

3900792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 3900792000 is about 62456.3207369759. The cubic root of 3900792000 is about 1574.1674612354.

The spelling of 3900792000 in words is "three billion, nine hundred million, seven hundred ninety-two thousand".