38360752128 has 168 divisors, whose sum is σ = 112915502388. Its totient is φ = 12544376832.

The previous prime is 38360752109. The next prime is 38360752277. The reversal of 38360752128 is 82125706383.

38360752128 is a `hidden beast` number, since 3 + 8 + 360 + 75 + 212 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30594207744 + 7766544384 = 174912^2 + 88128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3902676 + ... + 3912492.

Almost surely, 2^38360752128 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 38360752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56457751194).

38360752128 is an abundant number, since it is smaller than the sum of its proper divisors (74554750260).

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

38360752128 is an equidigital number, since it uses as much as digits as its factorization.

38360752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9902 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 38360752128 in words is "thirty-eight billion, three hundred sixty million, seven hundred fifty-two thousand, one hundred twenty-eight".