38664 has 32 divisors (see below), whose sum is σ = 108000. Its totient is φ = 12816.

The previous prime is 38653. The next prime is 38669. The reversal of 38664 is 46683.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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

38664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (3375).

2³⁸⁶⁶⁴ 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 38664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54000).

38664 is an abundant number, since it is smaller than the sum of its proper divisors (69336).

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

38664 is a wasteful number, since it uses less digits than its factorization.

38664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 38664 is about 196.6316352981. The cubic root of 38664 is about 33.8144447673.

The spelling of 38664 in words is "thirty-eight thousand, six hundred sixty-four".