38406 has 16 divisors (see below), whose sum is σ = 79344. Its totient is φ = 12384.

The previous prime is 38393. The next prime is 38431. The reversal of 38406 is 60483.

It is a nialpdrome in base 14.

It is a congruent 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, 136 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (4959).

2³⁸⁴⁰⁶ is an apocalyptic number.

38406 is an abundant number, since it is smaller than the sum of its proper divisors (40938).

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 (39672).

38406 is a wasteful number, since it uses less digits than its factorization.

38406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 38406 is about 195.9744881356. The cubic root of 38406 is about 33.7390636719.

Adding to 38406 its reverse (60483), we get a palindrome (98889).

It can be divided in two parts, 38 and 406, that added together give a palindrome (444).

The spelling of 38406 in words is "thirty-eight thousand, four hundred six".