38438912160 has 864 divisors, whose sum is σ = 160933106880. Its totient is φ = 8296611840.

The previous prime is 38438912153. The next prime is 38438912207. The reversal of 38438912160 is 6121983483.

38438912160 is a `hidden beast` number, since 38 + 438 + 9 + 121 + 60 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 56279179 + ... + 56279861.

It is an arithmetic number, because the mean of its divisors is an integer number (186265170).

Almost surely, 2^38438912160 is an apocalyptic number.

38438912160 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 38438912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80466553440).

38438912160 is an abundant number, since it is smaller than the sum of its proper divisors (122494194720).

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

38438912160 is a wasteful number, since it uses less digits than its factorization.

38438912160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 38438912160 in words is "thirty-eight billion, four hundred thirty-eight million, nine hundred twelve thousand, one hundred sixty".