38608 has 20 divisors (see below), whose sum is σ = 79360. Its totient is φ = 18144.

The previous prime is 38603. The next prime is 38609. The reversal of 38608 is 80683.

38608 is nontrivially palindromic in base 3.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38608.

It is not an unprimeable number, because it can be changed into a prime (38603) by changing a digit.

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, 241 + ... + 367.

It is an arithmetic number, because the mean of its divisors is an integer number (3968).

2³⁸⁶⁰⁸ is an apocalyptic number.

38608 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39680).

38608 is an abundant number, since it is smaller than the sum of its proper divisors (40752).

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

38608 is a wasteful number, since it uses less digits than its factorization.

38608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 38608 is about 196.4891854530. The cubic root of 38608 is about 33.7981115386.

Subtracting from 38608 its sum of digits (25), we obtain a palindrome (38583).

It can be divided in two parts, 38 and 608, that multiplied together give a square (23104 = 152²).

The spelling of 38608 in words is "thirty-eight thousand, six hundred eight".