39644 has 24 divisors (see below), whose sum is σ = 81648. Its totient is φ = 16640.

The previous prime is 39631. The next prime is 39659. The reversal of 39644 is 44693.

It is a congruent number.

It is an unprimeable number.

39644 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, 722 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2³⁹⁶⁴⁴ is an apocalyptic number.

39644 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

39644 is an abundant number, since it is smaller than the sum of its proper divisors (42004).

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 (40824).

39644 is a wasteful number, since it uses less digits than its factorization.

39644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 39644 is about 199.1080108886. The cubic root of 39644 is about 34.0977578698.

It can be divided in two parts, 396 and 44, that multiplied together give a square (17424 = 132²).

The spelling of 39644 in words is "thirty-nine thousand, six hundred forty-four".