38979022752 has 288 divisors, whose sum is σ = 115947127296. Its totient is φ = 12412108800.

The previous prime is 38979022741. The next prime is 38979022759. The reversal of 38979022752 is 25722097983.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (38979022759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174793713 + ... + 174793935.

It is an arithmetic number, because the mean of its divisors is an integer number (402594192).

Almost surely, 2^38979022752 is an apocalyptic number.

38979022752 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 38979022752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57973563648).

38979022752 is an abundant number, since it is smaller than the sum of its proper divisors (76968104544).

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

38979022752 is a wasteful number, since it uses less digits than its factorization.

38979022752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 38979022752 in words is "thirty-eight billion, nine hundred seventy-nine million, twenty-two thousand, seven hundred fifty-two".