38792632320 has 768 divisors, whose sum is σ = 152562009600. Its totient is φ = 9289728000.

The previous prime is 38792632309. The next prime is 38792632331. The reversal of 38792632320 is 2323629783.

38792632320 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 2 + 632 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38792632309) and next prime (38792632331).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154552195 + ... + 154552445.

It is an arithmetic number, because the mean of its divisors is an integer number (198648450).

Almost surely, 2^38792632320 is an apocalyptic number.

38792632320 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 38792632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76281004800).

38792632320 is an abundant number, since it is smaller than the sum of its proper divisors (113769377280).

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

38792632320 is a wasteful number, since it uses less digits than its factorization.

38792632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 38792632320 in words is "thirty-eight billion, seven hundred ninety-two million, six hundred thirty-two thousand, three hundred twenty".