38980 has 12 divisors (see below), whose sum is σ = 81900. Its totient is φ = 15584.

The previous prime is 38977. The next prime is 38993. The reversal of 38980 is 8983.

It can be written as a sum of positive squares in 2 ways, for example, as 23104 + 15876 = 152^2 + 126^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 955 + ... + 994.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

2³⁸⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

38980 is an abundant number, since it is smaller than the sum of its proper divisors (42920).

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 (40950).

38980 is a wasteful number, since it uses less digits than its factorization.

38980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 38980 is about 197.4335331194. The cubic root of 38980 is about 33.9063164963.

The spelling of 38980 in words is "thirty-eight thousand, nine hundred eighty".