38444160 has 64 divisors (see below), whose sum is σ = 122546880. Its totient is φ = 10251264.

The previous prime is 38444149. The next prime is 38444179. The reversal of 38444160 is 6144483.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 8092 + ... + 11931.

It is an arithmetic number, because the mean of its divisors is an integer number (1914795).

Almost surely, 2^38444160 is an apocalyptic number.

38444160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38444160 is an abundant number, since it is smaller than the sum of its proper divisors (84102720).

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

38444160 is a wasteful number, since it uses less digits than its factorization.

38444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20045 (or 20033 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 38444160 is about 6200.3354747949. The cubic root of 38444160 is about 337.5023429193.

It can be divided in two parts, 384 and 44160, that added together give a palindrome (44544).

The spelling of 38444160 in words is "thirty-eight million, four hundred forty-four thousand, one hundred sixty".