38405021160 has 128 divisors (see below), whose sum is σ = 126179337600. Its totient is φ = 9273999360.

The previous prime is 38405021159. The next prime is 38405021191. The reversal of 38405021160 is 6112050483.

38405021160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 282636 + ... + 395844.

It is an arithmetic number, because the mean of its divisors is an integer number (985776075).

Almost surely, 2^38405021160 is an apocalyptic number.

38405021160 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 38405021160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63089668800).

38405021160 is an abundant number, since it is smaller than the sum of its proper divisors (87774316440).

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

38405021160 is a wasteful number, since it uses less digits than its factorization.

38405021160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113491 (or 113487 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 38405021160 in words is "thirty-eight billion, four hundred five million, twenty-one thousand, one hundred sixty".