38057221920 has 384 divisors, whose sum is σ = 131054837760. Its totient is φ = 9247703040.

The previous prime is 38057221861. The next prime is 38057221949. The reversal of 38057221920 is 2912275083.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64177144 + ... + 64177736.

It is an arithmetic number, because the mean of its divisors is an integer number (341288640).

Almost surely, 2^38057221920 is an apocalyptic number.

38057221920 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 38057221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65527418880).

38057221920 is an abundant number, since it is smaller than the sum of its proper divisors (92997615840).

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

38057221920 is a wasteful number, since it uses less digits than its factorization.

38057221920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 38057221920 in words is "thirty-eight billion, fifty-seven million, two hundred twenty-one thousand, nine hundred twenty".