38892 has 24 divisors (see below), whose sum is σ = 103936. Its totient is φ = 11088.

The previous prime is 38891. The next prime is 38903. The reversal of 38892 is 29883.

It is not an unprimeable number, because it can be changed into a prime (38891) 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, 148 + ... + 315.

2³⁸⁸⁹² is an apocalyptic number.

It is an amenable number.

38892 is an abundant number, since it is smaller than the sum of its proper divisors (65044).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51968).

38892 is a wasteful number, since it uses less digits than its factorization.

38892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 38892 is about 197.2105473853. The cubic root of 38892 is about 33.8807819998.

Subtracting from 38892 its reverse (29883), we obtain a palindrome (9009).

The spelling of 38892 in words is "thirty-eight thousand, eight hundred ninety-two".