38364032 has 64 divisors (see below), whose sum is σ = 89303040. Its totient is φ = 16074240.

The previous prime is 38364031. The next prime is 38364043. The reversal of 38364032 is 23046383.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 38363986 and 38364004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38364031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41657 + ... + 42567.

It is an arithmetic number, because the mean of its divisors is an integer number (1395360).

Almost surely, 2^38364032 is an apocalyptic number.

38364032 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 38364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44651520).

38364032 is an abundant number, since it is smaller than the sum of its proper divisors (50939008).

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

38364032 is an equidigital number, since it uses as much as digits as its factorization.

38364032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 38364032 is about 6193.8705185046. The cubic root of 38364032 is about 337.2676978471.

The spelling of 38364032 in words is "thirty-eight million, three hundred sixty-four thousand, thirty-two".