38668 has 12 divisors (see below), whose sum is σ = 77392. Its totient is φ = 16560.

The previous prime is 38653. The next prime is 38669. The reversal of 38668 is 86683.

38668 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (38669) by changing a digit.

38668 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 663 + ... + 718.

2³⁸⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

38668 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (38696).

38668 is a wasteful number, since it uses less digits than its factorization.

38668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1390 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 38668 is about 196.6418063383. The cubic root of 38668 is about 33.8156108228.

It can be divided in two parts, 386 and 68, that added together give a palindrome (454).

The spelling of 38668 in words is "thirty-eight thousand, six hundred sixty-eight".