39744016 has 40 divisors (see below), whose sum is σ = 83735960. Its totient is φ = 18164736.

The previous prime is 39744013. The next prime is 39744017. The reversal of 39744016 is 61044793.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3600 + 39740416 = 60^2 + 6304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39744013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21796 + ... + 23548.

It is an arithmetic number, because the mean of its divisors is an integer number (2093399).

Almost surely, 2^39744016 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 39744016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41867980).

39744016 is an abundant number, since it is smaller than the sum of its proper divisors (43991944).

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

39744016 is a wasteful number, since it uses less digits than its factorization.

39744016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 39744016 is about 6304.2855265288. The cubic root of 39744016 is about 341.2640833771.

The spelling of 39744016 in words is "thirty-nine million, seven hundred forty-four thousand, sixteen".