38426160 has 80 divisors (see below), whose sum is σ = 123251040. Its totient is φ = 9891840.

The previous prime is 38426159. The next prime is 38426173. The reversal of 38426160 is 6162483.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 4200 + ... + 9720.

It is an arithmetic number, because the mean of its divisors is an integer number (1540638).

Almost surely, 2^38426160 is an apocalyptic number.

38426160 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 38426160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61625520).

38426160 is an abundant number, since it is smaller than the sum of its proper divisors (84824880).

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

38426160 is a wasteful number, since it uses less digits than its factorization.

38426160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38426160 is about 6198.8837704864. The cubic root of 38426160 is about 337.4496605304.

The spelling of 38426160 in words is "thirty-eight million, four hundred twenty-six thousand, one hundred sixty".