38064 has 40 divisors (see below), whose sum is σ = 107632. Its totient is φ = 11520.

The previous prime is 38053. The next prime is 38069. The reversal of 38064 is 46083.

It is a self number, because there is not a number n which added to its sum of digits gives 38064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38069) by changing a digit.

38064 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, 594 + ... + 654.

2³⁸⁰⁶⁴ 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 38064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53816).

38064 is an abundant number, since it is smaller than the sum of its proper divisors (69568).

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

38064 is a wasteful number, since it uses less digits than its factorization.

38064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 38064 is about 195.0999743721. The cubic root of 38064 is about 33.6386177297.

It can be divided in two parts, 380 and 64, that added together give a palindrome (444).

The spelling of 38064 in words is "thirty-eight thousand, sixty-four".