38824 has 16 divisors (see below), whose sum is σ = 76320. Its totient is φ = 18480.

The previous prime is 38821. The next prime is 38833. The reversal of 38824 is 42883.

38824 is nontrivially palindromic in base 7.

38824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (38821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79 + ... + 289.

It is an arithmetic number, because the mean of its divisors is an integer number (4770).

2³⁸⁸²⁴ is an apocalyptic number.

It is an amenable number.

38824 is a deficient number, since it is larger than the sum of its proper divisors (37496).

38824 is a wasteful number, since it uses less digits than its factorization.

38824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 38824 is about 197.0380673880. The cubic root of 38824 is about 33.8610244043.

The spelling of 38824 in words is "thirty-eight thousand, eight hundred twenty-four".