38412 has 36 divisors (see below), whose sum is σ = 107016. Its totient is φ = 11520.

The previous prime is 38393. The next prime is 38431. The reversal of 38412 is 21483.

It is a happy number.

38412 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (38393) and next prime (38431).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 38412.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348 + ... + 444.

2³⁸⁴¹² 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 38412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53508).

38412 is an abundant number, since it is smaller than the sum of its proper divisors (68604).

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

38412 is a wasteful number, since it uses less digits than its factorization.

38412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 113 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 38412 is about 195.9897956527. The cubic root of 38412 is about 33.7408205488.

Adding to 38412 its reverse (21483), we get a palindrome (59895).

The spelling of 38412 in words is "thirty-eight thousand, four hundred twelve".