38496856320 has 432 divisors, whose sum is σ = 151888634352. Its totient is φ = 8918138880.

The previous prime is 38496856319. The next prime is 38496856357. The reversal of 38496856320 is 2365869483.

38496856320 is a `hidden beast` number, since 38 + 49 + 6 + 8 + 563 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2803067136 + 35693789184 = 52944^2 + 188928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2538360 + ... + 2553480.

It is an arithmetic number, because the mean of its divisors is an integer number (351594061).

Almost surely, 2^38496856320 is an apocalyptic number.

38496856320 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 38496856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75944317176).

38496856320 is an abundant number, since it is smaller than the sum of its proper divisors (113391778032).

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

38496856320 is a wasteful number, since it uses less digits than its factorization.

38496856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15178 (or 15161 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 38496856320 in words is "thirty-eight billion, four hundred ninety-six million, eight hundred fifty-six thousand, three hundred twenty".