38408832 has 192 divisors, whose sum is σ = 138116160. Its totient is φ = 9953280.

The previous prime is 38408819. The next prime is 38408857. The reversal of 38408832 is 23880483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88488 + ... + 88920.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 2^38408832 is an apocalyptic number.

38408832 is a gapful number since it is divisible by the number (32) 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 38408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

38408832 is an abundant number, since it is smaller than the sum of its proper divisors (99707328).

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

38408832 is a wasteful number, since it uses less digits than its factorization.

38408832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38408832 is about 6197.4859418961. The cubic root of 38408832 is about 337.3989294064.

The spelling of 38408832 in words is "thirty-eight million, four hundred eight thousand, eight hundred thirty-two".