3792568320 has 216 divisors, whose sum is σ = 13167967176. Its totient is φ = 1009778688.

The previous prime is 3792568319. The next prime is 3792568327. The reversal of 3792568320 is 238652973.

3792568320 is a `hidden beast` number, since 3 + 79 + 256 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3792568327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5897919 + ... + 5898561.

It is an arithmetic number, because the mean of its divisors is an integer number (60962811).

Almost surely, 2^3792568320 is an apocalyptic number.

3792568320 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 3792568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583983588).

3792568320 is an abundant number, since it is smaller than the sum of its proper divisors (9375398856).

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

3792568320 is an frugal number, since it uses more digits than its factorization.

3792568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3792568320 is about 61583.8316443529. The cubic root of 3792568320 is about 1559.4728001574.

The spelling of 3792568320 in words is "three billion, seven hundred ninety-two million, five hundred sixty-eight thousand, three hundred twenty".