39744064 has 28 divisors (see below), whose sum is σ = 80362044. Its totient is φ = 19495424.

The previous prime is 39744053. The next prime is 39744091. The reversal of 39744064 is 46044793.

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 29246464 = 3240^2 + 5408^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2467 + ... + 9250.

It is an arithmetic number, because the mean of its divisors is an integer number (2870073).

Almost surely, 2^39744064 is an apocalyptic number.

It is an amenable number.

39744064 is an abundant number, since it is smaller than the sum of its proper divisors (40617980).

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

39744064 is a wasteful number, since it uses less digits than its factorization.

39744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11782 (or 11772 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 39744064 is about 6304.2893334618. The cubic root of 39744064 is about 341.2642207619.

The spelling of 39744064 in words is "thirty-nine million, seven hundred forty-four thousand, sixty-four".