3792832800 has 144 divisors (see below), whose sum is σ = 12468701952. Its totient is φ = 1001344000.

The previous prime is 3792832781. The next prime is 3792832817. The reversal of 3792832800 is 82382973.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234577 + ... + 250223.

It is an arithmetic number, because the mean of its divisors is an integer number (86588208).

Almost surely, 2^3792832800 is an apocalyptic number.

3792832800 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 3792832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234350976).

3792832800 is an abundant number, since it is smaller than the sum of its proper divisors (8675869152).

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

3792832800 is a wasteful number, since it uses less digits than its factorization.

3792832800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15771 (or 15758 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3792832800 is about 61585.9789237778. The cubic root of 3792832800 is about 1559.5090499793.

The spelling of 3792832800 in words is "three billion, seven hundred ninety-two million, eight hundred thirty-two thousand, eight hundred".