38192880000 has 1280 divisors, whose sum is σ = 156927767040. Its totient is φ = 8110080000.

The previous prime is 38192879999. The next prime is 38192880013. The reversal of 38192880000 is 8829183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1032239982 + ... + 1032240018.

It is an arithmetic number, because the mean of its divisors is an integer number (122599818).

Almost surely, 2^38192880000 is an apocalyptic number.

38192880000 is a gapful number since it is divisible by the number (30) 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 38192880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78463883520).

38192880000 is an abundant number, since it is smaller than the sum of its proper divisors (118734887040).

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

38192880000 is a wasteful number, since it uses less digits than its factorization.

38192880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 38192880000 in words is "thirty-eight billion, one hundred ninety-two million, eight hundred eighty thousand".