38864 has 20 divisors (see below), whose sum is σ = 86304. Its totient is φ = 16608.

The previous prime is 38861. The next prime is 38867. The reversal of 38864 is 46883.

38864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38861) and next prime (38867).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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 3 ways as a sum of consecutive naturals, for example, 62 + ... + 285.

2³⁸⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

38864 is an abundant number, since it is smaller than the sum of its proper divisors (47440).

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 (43152).

38864 is a wasteful number, since it uses less digits than its factorization.

38864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 38864 is about 197.1395444856. The cubic root of 38864 is about 33.8726493106.

The spelling of 38864 in words is "thirty-eight thousand, eight hundred sixty-four".