38264832 has 112 divisors (see below), whose sum is σ = 114025680. Its totient is φ = 12681216.

The previous prime is 38264783. The next prime is 38264861. The reversal of 38264832 is 23846283.

38264832 is a `hidden beast` number, since 3 + 8 + 2 + 648 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 3.

It is a congruent number.

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, 221098 + ... + 221270.

Almost surely, 2^38264832 is an apocalyptic number.

38264832 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 38264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57012840).

38264832 is an abundant number, since it is smaller than the sum of its proper divisors (75760848).

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

38264832 is an equidigital number, since it uses as much as digits as its factorization.

38264832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 178 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 38264832 is about 6185.8574183374. The cubic root of 38264832 is about 336.9767496808.

The spelling of 38264832 in words is "thirty-eight million, two hundred sixty-four thousand, eight hundred thirty-two".