38920 has 32 divisors (see below), whose sum is σ = 100800. Its totient is φ = 13248.

The previous prime is 38917. The next prime is 38921. The reversal of 38920 is 2983.

38920 is nontrivially palindromic in base 11.

It is an Ulam number.

38920 is an undulating number in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 38891 and 38900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2³⁸⁹²⁰ 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 38920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

38920 is an abundant number, since it is smaller than the sum of its proper divisors (61880).

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

38920 is a wasteful number, since it uses less digits than its factorization.

38920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 38920 is about 197.2815247305. The cubic root of 38920 is about 33.8889107866. Note that the first 3 decimals are identical.

Subtracting from 38920 its reverse (2983), we obtain a cube (35937 = 33³).

The spelling of 38920 in words is "thirty-eight thousand, nine hundred twenty".