38800 has 30 divisors (see below), whose sum is σ = 94178. Its totient is φ = 15360.

The previous prime is 38791. The next prime is 38803. The reversal of 38800 is 883.

It can be written as a sum of positive squares in 3 ways, for example, as 1936 + 36864 = 44^2 + 192^2 .

It is not an unprimeable number, because it can be changed into a prime (38803) by changing a digit.

38800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 352 + ... + 448.

2³⁸⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47089).

38800 is an abundant number, since it is smaller than the sum of its proper divisors (55378).

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

38800 is a wasteful number, since it uses less digits than its factorization.

38800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 38800 is about 196.9771560359. The cubic root of 38800 is about 33.8540456274.

Subtracting from 38800 its sum of digits (19), we obtain a triangular number (38781 = T₂₇₈).

It can be divided in two parts, 38 and 800, that added together give a palindrome (838).

The spelling of 38800 in words is "thirty-eight thousand, eight hundred".