38664192 has 192 divisors, whose sum is σ = 125798400. Its totient is φ = 10321920.

The previous prime is 38664191. The next prime is 38664203. The reversal of 38664192 is 29146683.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (62208) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 38664192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38664191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1247217 + ... + 1247247.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^38664192 is an apocalyptic number.

38664192 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 38664192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

38664192 is an abundant number, since it is smaller than the sum of its proper divisors (87134208).

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

38664192 is a wasteful number, since it uses less digits than its factorization.

38664192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 38664192 is about 6218.0537147889. The cubic root of 38664192 is about 338.1450073977.

The spelling of 38664192 in words is "thirty-eight million, six hundred sixty-four thousand, one hundred ninety-two".