38300 has 18 divisors (see below), whose sum is σ = 83328. Its totient is φ = 15280.

The previous prime is 38299. The next prime is 38303. The reversal of 38300 is 383.

It is a happy number.

38300 is nontrivially palindromic in base 9.

38300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38300.

It is not an unprimeable number, because it can be changed into a prime (38303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92 + ... + 291.

2³⁸³⁰⁰ is an apocalyptic number.

It is an amenable number.

38300 is an abundant number, since it is smaller than the sum of its proper divisors (45028).

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

38300 is a wasteful number, since it uses less digits than its factorization.

38300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 38300 is about 195.7038579078. The cubic root of 38300 is about 33.7079952970.

Adding to 38300 its reverse (383), we get a palindrome (38683).

Multiplying 38300 by its reverse (383), we get a square (14668900 = 3830²).

38300 divided by its reverse (383) gives a square (100 = 10²).

The spelling of 38300 in words is "thirty-eight thousand, three hundred".