3613662284544 has 504 divisors, whose sum is σ = 11680190430720. Its totient is φ = 1108707803136.

The previous prime is 3613662284483. The next prime is 3613662284563. The reversal of 3613662284544 is 4454822663163.

3613662284544 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 6 + 622 + 8 + 4 + 5 + 4 + 4 = 666.

It is a super-2 number, since 2×3613662284544² (a number of 26 digits) contains 22 as substring.

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

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, 929198952 + ... + 929202840.

Almost surely, 2^{3613662284544} 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 3613662284544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840095215360).

3613662284544 is an abundant number, since it is smaller than the sum of its proper divisors (8066528146176).

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

3613662284544 is an equidigital number, since it uses as much as digits as its factorization.

3613662284544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4290 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 3613662284544 in words is "three trillion, six hundred thirteen billion, six hundred sixty-two million, two hundred eighty-four thousand, five hundred forty-four".