38508 has 12 divisors (see below), whose sum is σ = 89880. Its totient is φ = 12832.

The previous prime is 38501. The next prime is 38543. The reversal of 38508 is 80583.

38508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (38501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1593 + ... + 1616.

It is an arithmetic number, because the mean of its divisors is an integer number (7490).

2³⁸⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

38508 is an abundant number, since it is smaller than the sum of its proper divisors (51372).

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 (44940).

38508 is a wasteful number, since it uses less digits than its factorization.

38508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 38508 is about 196.2345535322. The cubic root of 38508 is about 33.7689057313.

The spelling of 38508 in words is "thirty-eight thousand, five hundred eight".