38104 has 16 divisors (see below), whose sum is σ = 78120. Its totient is φ = 17280.

The previous prime is 38083. The next prime is 38113. The reversal of 38104 is 40183.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129 + ... + 304.

2³⁸¹⁰⁴ is an apocalyptic number.

It is an amenable number.

38104 is an abundant number, since it is smaller than the sum of its proper divisors (40016).

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 (39060).

38104 is a wasteful number, since it uses less digits than its factorization.

38104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 38104 is about 195.2024590009. The cubic root of 38104 is about 33.6503967830.

Adding to 38104 its reverse (40183), we get a palindrome (78287).

The spelling of 38104 in words is "thirty-eight thousand, one hundred four".