39384640 has 28 divisors (see below), whose sum is σ = 93785436. Its totient is φ = 15753728.

The previous prime is 39384629. The next prime is 39384649. The reversal of 39384640 is 4648393.

It can be written as a sum of positive squares in 2 ways, for example, as 15492096 + 23892544 = 3936^2 + 4888^2 .

It is a super-2 number, since 2×39384640² = 3102299735859200, which contains 22 as substring.

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 a self number, because there is not a number n which added to its sum of digits gives 39384640.

It is not an unprimeable number, because it can be changed into a prime (39384649) 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 3 ways as a sum of consecutive naturals, for example, 61219 + ... + 61858.

Almost surely, 2^39384640 is an apocalyptic number.

It is an amenable number.

39384640 is an abundant number, since it is smaller than the sum of its proper divisors (54400796).

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

39384640 is a wasteful number, since it uses less digits than its factorization.

39384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123094 (or 123084 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 39384640 is about 6275.7182855829. The cubic root of 39384640 is about 340.2323671081.

The spelling of 39384640 in words is "thirty-nine million, three hundred eighty-four thousand, six hundred forty".