38080032 has 24 divisors (see below), whose sum is σ = 99960336. Its totient is φ = 12693312.

The previous prime is 38080013. The next prime is 38080037. The reversal of 38080032 is 23008083.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 38079984 and 38080011.

It is not an unprimeable number, because it can be changed into a prime (38080037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 198238 + ... + 198429.

It is an arithmetic number, because the mean of its divisors is an integer number (4165014).

Almost surely, 2^38080032 is an apocalyptic number.

38080032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38080032 is an abundant number, since it is smaller than the sum of its proper divisors (61880304).

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

38080032 is a wasteful number, since it uses less digits than its factorization.

38080032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396680 (or 396672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 38080032 is about 6170.9020410310. The cubic root of 38080032 is about 336.4333976474.

The spelling of 38080032 in words is "thirty-eight million, eighty thousand, thirty-two".