38180 has 24 divisors (see below), whose sum is σ = 84672. Its totient is φ = 14432.

The previous prime is 38177. The next prime is 38183. The reversal of 38180 is 8183.

It is an interprime number because it is at equal distance from previous prime (38177) and next prime (38183).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 8 and base 13.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38180.

It is not an unprimeable number, because it can be changed into a prime (38183) 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, 419 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2³⁸¹⁸⁰ 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 38180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336).

38180 is an abundant number, since it is smaller than the sum of its proper divisors (46492).

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

38180 is a wasteful number, since it uses less digits than its factorization.

With its successor (38181) it forms an eRAP, since the sums of their prime factors are consecutive (115 and 116).

38180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 38180 is about 195.3970317072. The cubic root of 38180 is about 33.6727542935.

The spelling of 38180 in words is "thirty-eight thousand, one hundred eighty".