38820 has 24 divisors (see below), whose sum is σ = 108864. Its totient is φ = 10336.

The previous prime is 38803. The next prime is 38821. The reversal of 38820 is 2883.

38820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38820.

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

38820 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 7 ways as a sum of consecutive naturals, for example, 264 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2³⁸⁸²⁰ is an apocalyptic number.

38820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38820 is an abundant number, since it is smaller than the sum of its proper divisors (70044).

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 (54432).

38820 is a wasteful number, since it uses less digits than its factorization.

38820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 38820 is about 197.0279168037. The cubic root of 38820 is about 33.8598614746.

Adding to 38820 its product of nonzero digits (384), we get a square (39204 = 198²).

Subtracting from 38820 its reverse (2883), we obtain a cube (35937 = 33³).

It can be divided in two parts, 38 and 820, that added together give a palindrome (858).

The spelling of 38820 in words is "thirty-eight thousand, eight hundred twenty".