39642 has 8 divisors (see below), whose sum is σ = 79296. Its totient is φ = 13212.

The previous prime is 39631. The next prime is 39659. The reversal of 39642 is 24693.

It is a sphenic number, since it is the product of 3 distinct primes.

39642 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 3⁸ + 9² + 6³ + 4² + 2¹⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 39642.

It is an unprimeable number.

39642 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, 3298 + ... + 3309.

It is an arithmetic number, because the mean of its divisors is an integer number (9912).

2³⁹⁶⁴² is an apocalyptic number.

39642 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (39648).

39642 is a wasteful number, since it uses less digits than its factorization.

39642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612.

The product of its digits is 1296, while the sum is 24.

The square root of 39642 is about 199.1029884256. The cubic root of 39642 is about 34.0971844609.

The spelling of 39642 in words is "thirty-nine thousand, six hundred forty-two".