38623392 has 72 divisors (see below), whose sum is σ = 113926176. Its totient is φ = 12871872.

The previous prime is 38623373. The next prime is 38623399. The reversal of 38623392 is 29332683.

It is a tau number, because it is divible by the number of its divisors (72).

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.

It is not an unprimeable number, because it can be changed into a prime (38623399) 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, 5293 + ... + 10259.

It is an arithmetic number, because the mean of its divisors is an integer number (1582308).

Almost surely, 2^38623392 is an apocalyptic number.

38623392 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 38623392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56963088).

38623392 is an abundant number, since it is smaller than the sum of its proper divisors (75302784).

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

38623392 is an equidigital number, since it uses as much as digits as its factorization.

38623392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4972 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 38623392 is about 6214.7720794893. The cubic root of 38623392 is about 338.0260241624.

The spelling of 38623392 in words is "thirty-eight million, six hundred twenty-three thousand, three hundred ninety-two".