3649590411264 has 2400 divisors, whose sum is σ = 14615864524800. Its totient is φ = 882895749120.

The previous prime is 3649590411163. The next prime is 3649590411289. The reversal of 3649590411264 is 4621140959463.

3649590411264 is a `hidden beast` number, since 3 + 6 + 4 + 9 + 590 + 41 + 1 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3649590411264.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117728722929 + ... + 117728722959.

It is an arithmetic number, because the mean of its divisors is an integer number (6089943552).

Almost surely, 2^{3649590411264} 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 3649590411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307932262400).

3649590411264 is an abundant number, since it is smaller than the sum of its proper divisors (10966274113536).

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

3649590411264 is a wasteful number, since it uses less digits than its factorization.

3649590411264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3649590411264 in words is "three trillion, six hundred forty-nine billion, five hundred ninety million, four hundred eleven thousand, two hundred sixty-four".