39744 has 56 divisors (see below), whose sum is σ = 121920. Its totient is φ = 12672.

The previous prime is 39733. The next prime is 39749. The reversal of 39744 is 44793.

39744 = 12³ + 13³ + ... + 20³.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3024) is a multiple of the sum of its prime divisors (28).

It is a nialpdrome in base 15.

It is a zygodrome in base 8 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39749) by changing a digit.

39744 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, 1717 + ... + 1739.

2³⁹⁷⁴⁴ 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 39744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960).

39744 is an abundant number, since it is smaller than the sum of its proper divisors (82176).

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

39744 is a wasteful number, since it uses less digits than its factorization.

39744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 28 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 39744 is about 199.3589727100. The cubic root of 39744 is about 34.1264037582.

It can be divided in two parts, 397 and 44, that added together give a square (441 = 21²).

The spelling of 39744 in words is "thirty-nine thousand, seven hundred forty-four".