38332933632 has 480 divisors, whose sum is σ = 131074944000. Its totient is φ = 10778406912.

The previous prime is 38332933627. The next prime is 38332933663. The reversal of 38332933632 is 23633923383.

38332933632 is a `hidden beast` number, since 3 + 8 + 3 + 3 + 2 + 9 + 3 + 3 + 632 = 666.

It is a super-2 number, since 2×38332933632² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124862823 + ... + 124863129.

It is an arithmetic number, because the mean of its divisors is an integer number (273072800).

Almost surely, 2^38332933632 is an apocalyptic number.

38332933632 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 38332933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65537472000).

38332933632 is an abundant number, since it is smaller than the sum of its proper divisors (92742010368).

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

38332933632 is an equidigital number, since it uses as much as digits as its factorization.

38332933632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 398 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 45.

The spelling of 38332933632 in words is "thirty-eight billion, three hundred thirty-two million, nine hundred thirty-three thousand, six hundred thirty-two".