38190 has 32 divisors (see below), whose sum is σ = 97920. Its totient is φ = 9504.

The previous prime is 38189. The next prime is 38197. The reversal of 38190 is 9183.

38190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

38190 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×38190² = 2916952200, which contains 22 as substring.

It is a plaindrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38190.

It is not an unprimeable number, because it can be changed into a prime (38197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (3060).

2³⁸¹⁹⁰ is an apocalyptic number.

38190 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 38190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960).

38190 is an abundant number, since it is smaller than the sum of its proper divisors (59730).

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

38190 is a wasteful number, since it uses less digits than its factorization.

38190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 38190 is about 195.4226189570. The cubic root of 38190 is about 33.6756938618.

The spelling of 38190 in words is "thirty-eight thousand, one hundred ninety".