38418 has 16 divisors (see below), whose sum is σ = 81120. Its totient is φ = 12096.

The previous prime is 38393. The next prime is 38431. The reversal of 38418 is 81483.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (5070).

2³⁸⁴¹⁸ is an apocalyptic number.

38418 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

38418 is an abundant number, since it is smaller than the sum of its proper divisors (42702).

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 (40560).

38418 is a wasteful number, since it uses less digits than its factorization.

38418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361.

The product of its digits is 768, while the sum is 24.

The square root of 38418 is about 196.0051019744. The cubic root of 38418 is about 33.7425772428.

The spelling of 38418 in words is "thirty-eight thousand, four hundred eighteen".