38900 has 18 divisors (see below), whose sum is σ = 84630. Its totient is φ = 15520.

The previous prime is 38891. The next prime is 38903. The reversal of 38900 is 983.

It can be written as a sum of positive squares in 3 ways, for example, as 484 + 38416 = 22^2 + 196^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38903) by changing a digit.

38900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95 + ... + 294.

2³⁸⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

38900 is an abundant number, since it is smaller than the sum of its proper divisors (45730).

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

38900 is a wasteful number, since it uses less digits than its factorization.

38900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 38900 is about 197.2308292332. The cubic root of 38900 is about 33.8831049083.

The spelling of 38900 in words is "thirty-eight thousand, nine hundred".