38572100440 has 128 divisors (see below), whose sum is σ = 90222672960. Its totient is φ = 14833188864.

The previous prime is 38572100407. The next prime is 38572100503. The reversal of 38572100440 is 4400127583.

38572100440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38572100396 and 38572100405.

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, 22002604 + ... + 22004356.

Almost surely, 2^38572100440 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 38572100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45111336480).

38572100440 is an abundant number, since it is smaller than the sum of its proper divisors (51650572520).

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

38572100440 is a wasteful number, since it uses less digits than its factorization.

38572100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 38572100440 in words is "thirty-eight billion, five hundred seventy-two million, one hundred thousand, four hundred forty".