38130 has 32 divisors (see below), whose sum is σ = 96768. Its totient is φ = 9600.

The previous prime is 38119. The next prime is 38149. The reversal of 38130 is 3183.

38130 is digitally balanced in base 2, base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

38130 is strictly pandigital in base 6.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38130.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910 + ... + 950.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2³⁸¹³⁰ is an apocalyptic number.

38130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

38130 is an abundant number, since it is smaller than the sum of its proper divisors (58638).

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

38130 is a wasteful number, since it uses less digits than its factorization.

38130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 38130 is about 195.2690451659. The cubic root of 38130 is about 33.6580487478.

The spelling of 38130 in words is "thirty-eight thousand, one hundred thirty".