38832160 has 48 divisors (see below), whose sum is σ = 94915800. Its totient is φ = 14995456.

The previous prime is 38832149. The next prime is 38832163. The reversal of 38832160 is 6123883.

It can be written as a sum of positive squares in 4 ways, for example, as 34621456 + 4210704 = 5884^2 + 2052^2 .

It is not an unprimeable number, because it can be changed into a prime (38832163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456 + ... + 8824.

Almost surely, 2^38832160 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 38832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47457900).

38832160 is an abundant number, since it is smaller than the sum of its proper divisors (56083640).

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

38832160 is a wasteful number, since it uses less digits than its factorization.

38832160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8413 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 38832160 is about 6231.5455546758. The cubic root of 38832160 is about 338.6339653327.

The spelling of 38832160 in words is "thirty-eight million, eight hundred thirty-two thousand, one hundred sixty".