38868 has 24 divisors (see below), whose sum is σ = 94080. Its totient is φ = 12480.

The previous prime is 38867. The next prime is 38873. The reversal of 38868 is 86883.

Added to its reverse (86883) it gives a triangular number (125751 = T₅₀₁).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

2³⁸⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

38868 is an abundant number, since it is smaller than the sum of its proper divisors (55212).

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 (47040).

38868 is a wasteful number, since it uses less digits than its factorization.

38868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 38868 is about 197.1496893226. The cubic root of 38868 is about 33.8738113625.

Adding to 38868 its product of digits (9216), we get a palindrome (48084).

Adding to 38868 its reverse (86883), we get a triangular number (125751 = T₅₀₁).

The spelling of 38868 in words is "thirty-eight thousand, eight hundred sixty-eight".