39684 has 12 divisors (see below), whose sum is σ = 92624. Its totient is φ = 13224.

The previous prime is 39679. The next prime is 39703. The reversal of 39684 is 48693.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

39684 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, 1642 + ... + 1665.

2³⁹⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

39684 is an abundant number, since it is smaller than the sum of its proper divisors (52940).

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 (46312).

39684 is a wasteful number, since it uses less digits than its factorization.

39684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3312 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 39684 is about 199.2084335564. The cubic root of 39684 is about 34.1092219993.

Subtracting 39684 from its reverse (48693), we obtain a palindrome (9009).

The spelling of 39684 in words is "thirty-nine thousand, six hundred eighty-four".