3649311667584 has 448 divisors, whose sum is σ = 12517023758400. Its totient is φ = 1047643683840.

The previous prime is 3649311667579. The next prime is 3649311667607. The reversal of 3649311667584 is 4857661139463.

It is a happy number.

3649311667584 is a `hidden beast` number, since 3 + 6 + 4 + 9 + 31 + 16 + 6 + 7 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19408647 + ... + 19595769.

It is an arithmetic number, because the mean of its divisors is an integer number (27939785175).

Almost surely, 2^{3649311667584} 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 3649311667584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258511879200).

3649311667584 is an abundant number, since it is smaller than the sum of its proper divisors (8867712090816).

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

3649311667584 is a wasteful number, since it uses less digits than its factorization.

3649311667584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187185 (or 187158 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 3649311667584 in words is "three trillion, six hundred forty-nine billion, three hundred eleven million, six hundred sixty-seven thousand, five hundred eighty-four".