38801072128 has 448 divisors, whose sum is σ = 104280809472. Its totient is φ = 14014218240.

The previous prime is 38801072117. The next prime is 38801072147. The reversal of 38801072128 is 82127010883.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531521500 + ... + 531521572.

It is an arithmetic number, because the mean of its divisors is an integer number (232769664).

Almost surely, 2^38801072128 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 38801072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52140404736).

38801072128 is an abundant number, since it is smaller than the sum of its proper divisors (65479737344).

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

38801072128 is a wasteful number, since it uses less digits than its factorization.

38801072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 38801072128 in words is "thirty-eight billion, eight hundred one million, seventy-two thousand, one hundred twenty-eight".