3644576744013 has 48 divisors (see below), whose sum is σ = 5306270112000. Its totient is φ = 2410479648000.

The previous prime is 3644576744009. The next prime is 3644576744059. The reversal of 3644576744013 is 3104476754463.

3644576744013 is a `hidden beast` number, since 3 + 64 + 4 + 576 + 7 + 4 + 4 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 3644576744013 - 2² = 3644576744009 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644576744813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1325781363 + ... + 1325784111.

It is an arithmetic number, because the mean of its divisors is an integer number (110547294000).

Almost surely, 2^{3644576744013} is an apocalyptic number.

It is an amenable number.

3644576744013 is a deficient number, since it is larger than the sum of its proper divisors (1661693367987).

3644576744013 is a wasteful number, since it uses less digits than its factorization.

3644576744013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 3644576744013 in words is "three trillion, six hundred forty-four billion, five hundred seventy-six million, seven hundred forty-four thousand, thirteen".