38620160 has 88 divisors (see below), whose sum is σ = 97764720. Its totient is φ = 14598144.

The previous prime is 38620157. The next prime is 38620181. The reversal of 38620160 is 6102683.

38620160 = 17³ + 18³ + ... + 111³.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97082 + ... + 97478.

Almost surely, 2^38620160 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 38620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48882360).

38620160 is an abundant number, since it is smaller than the sum of its proper divisors (59144560).

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

38620160 is a wasteful number, since it uses less digits than its factorization.

38620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 38620160 is about 6214.5120484234. The cubic root of 38620160 is about 338.0165952427.

The spelling of 38620160 in words is "thirty-eight million, six hundred twenty thousand, one hundred sixty".