38064079872 has 792 divisors, whose sum is σ = 143787961408. Its totient is φ = 9794027520.

The previous prime is 38064079853. The next prime is 38064079877. The reversal of 38064079872 is 27897046083.

38064079872 is a `hidden beast` number, since 3 + 80 + 6 + 407 + 98 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38064079877) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 928392172 + ... + 928392212.

Almost surely, 2^38064079872 is an apocalyptic number.

38064079872 is a gapful number since it is divisible by the number (32) 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 38064079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71893980704).

38064079872 is an abundant number, since it is smaller than the sum of its proper divisors (105723881536).

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

38064079872 is an equidigital number, since it uses as much as digits as its factorization.

38064079872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 38064079872 in words is "thirty-eight billion, sixty-four million, seventy-nine thousand, eight hundred seventy-two".