38164032 has 84 divisors (see below), whose sum is σ = 111343440. Its totient is φ = 12494592.

The previous prime is 38164003. The next prime is 38164033. The reversal of 38164032 is 23046183.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38163987 and 38164005.

It is not an unprimeable number, because it can be changed into a prime (38164033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33423 + ... + 34545.

Almost surely, 2^38164032 is an apocalyptic number.

38164032 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 38164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55671720).

38164032 is an abundant number, since it is smaller than the sum of its proper divisors (73179408).

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

38164032 is a wasteful number, since it uses less digits than its factorization.

38164032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38164032 is about 6177.7044280218. The cubic root of 38164032 is about 336.6805932655.

The spelling of 38164032 in words is "thirty-eight million, one hundred sixty-four thousand, thirty-two".