38684 has 12 divisors (see below), whose sum is σ = 71400. Its totient is φ = 18288.

The previous prime is 38677. The next prime is 38693. The reversal of 38684 is 48683.

38684 = 66² + 67² + ... + 73².

38684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

38684 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 3 ways as a sum of consecutive naturals, for example, 179 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (5950).

2³⁸⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

38684 is a deficient number, since it is larger than the sum of its proper divisors (32716).

38684 is a wasteful number, since it uses less digits than its factorization.

38684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

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

The square root of 38684 is about 196.6824852395. The cubic root of 38684 is about 33.8202742410.

Subtracting 38684 from its reverse (48683), we obtain a palindrome (9999).

The spelling of 38684 in words is "thirty-eight thousand, six hundred eighty-four".