38280 has 64 divisors (see below), whose sum is σ = 129600. Its totient is φ = 8960.

The previous prime is 38273. The next prime is 38281. The reversal of 38280 is 8283.

38280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

38280 is strictly pandigital in base 6.

It is a plaindrome in base 13.

It is a nialpdrome in base 5, base 14 and base 15.

It is a zygodrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38280.

It is not an unprimeable number, because it can be changed into a prime (38281) by changing a digit.

38280 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 15 ways as a sum of consecutive naturals, for example, 1306 + ... + 1334.

It is an arithmetic number, because the mean of its divisors is an integer number (2025).

2³⁸²⁸⁰ is an apocalyptic number.

38280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

38280 is an abundant number, since it is smaller than the sum of its proper divisors (91320).

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

38280 is a wasteful number, since it uses less digits than its factorization.

38280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 50 counting only the distinct ones).

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

The square root of 38280 is about 195.6527536223. The cubic root of 38280 is about 33.7021269133.

The spelling of 38280 in words is "thirty-eight thousand, two hundred eighty".