38355921807360 has 96 divisors (see below), whose sum is σ = 122708984317920. Its totient is φ = 10228245807104.

The previous prime is 38355921807293. The next prime is 38355921807383. The reversal of 38355921807360 is 6370812955383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38355921807294 and 38355921807303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624251862 + ... + 624313301.

It is an arithmetic number, because the mean of its divisors is an integer number (1278218586645).

Almost surely, 2^{38355921807360} is an apocalyptic number.

38355921807360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38355921807360 is an abundant number, since it is smaller than the sum of its proper divisors (84353062510560).

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

38355921807360 is a wasteful number, since it uses less digits than its factorization.

38355921807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248565193 (or 1248565173 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 38355921807360 in words is "thirty-eight trillion, three hundred fifty-five billion, nine hundred twenty-one million, eight hundred seven thousand, three hundred sixty".