38633152 has 28 divisors (see below), whose sum is σ = 78537816. Its totient is φ = 18844160.

The previous prime is 38633117. The next prime is 38633173. The reversal of 38633152 is 25133683.

38633152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 4738 + ... + 9985.

It is an arithmetic number, because the mean of its divisors is an integer number (2804922).

Almost surely, 2^38633152 is an apocalyptic number.

38633152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38633152 is an abundant number, since it is smaller than the sum of its proper divisors (39904664).

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

38633152 is a wasteful number, since it uses less digits than its factorization.

38633152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14776 (or 14766 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 38633152 is about 6215.5572557897. The cubic root of 38633152 is about 338.0544944406.

The spelling of 38633152 in words is "thirty-eight million, six hundred thirty-three thousand, one hundred fifty-two".