38808 has 72 divisors (see below), whose sum is σ = 133380. Its totient is φ = 10080.

The previous prime is 38803. The next prime is 38821. The reversal of 38808 is 80883.

38808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 197²-1.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 7 and base 15.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3523 + ... + 3533.

2³⁸⁸⁰⁸ 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 38808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66690).

38808 is an abundant number, since it is smaller than the sum of its proper divisors (94572).

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

38808 is a wasteful number, since it uses less digits than its factorization.

38808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 38808 is about 196.9974619126. The cubic root of 38808 is about 33.8563722061.

Subtracting from 38808 its sum of digits (27), we obtain a triangular number (38781 = T₂₇₈).

The spelling of 38808 in words is "thirty-eight thousand, eight hundred eight".