3792920320 has 288 divisors, whose sum is σ = 11307800448. Its totient is φ = 1189085184.

The previous prime is 3792920279. The next prime is 3792920333. The reversal of 3792920320 is 230292973.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 3792920320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5635504 + ... + 5636176.

It is an arithmetic number, because the mean of its divisors is an integer number (39263196).

Almost surely, 2^3792920320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3792920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653900224).

3792920320 is an abundant number, since it is smaller than the sum of its proper divisors (7514880128).

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

3792920320 is a wasteful number, since it uses less digits than its factorization.

3792920320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The square root of 3792920320 is about 61586.6894710213. The cubic root of 3792920320 is about 1559.5210451633.

The spelling of 3792920320 in words is "three billion, seven hundred ninety-two million, nine hundred twenty thousand, three hundred twenty".