38771875120 has 120 divisors (see below), whose sum is σ = 99227086560. Its totient is φ = 14078592000.

The previous prime is 38771875117. The next prime is 38771875189. The reversal of 38771875120 is 2157817783.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7828645 + ... + 7833595.

It is an arithmetic number, because the mean of its divisors is an integer number (826892388).

Almost surely, 2^38771875120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38771875120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49613543280).

38771875120 is an abundant number, since it is smaller than the sum of its proper divisors (60455211440).

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

38771875120 is a wasteful number, since it uses less digits than its factorization.

38771875120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 49.

The spelling of 38771875120 in words is "thirty-eight billion, seven hundred seventy-one million, eight hundred seventy-five thousand, one hundred twenty".