3613533855680 has 224 divisors, whose sum is σ = 10476341369856. Its totient is φ = 1158892240896.

The previous prime is 3613533855671. The next prime is 3613533855707. The reversal of 3613533855680 is 865583353163.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3613533855680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5915957 + ... + 6498123.

Almost surely, 2^{3613533855680} 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 3613533855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238170684928).

3613533855680 is an abundant number, since it is smaller than the sum of its proper divisors (6862807514176).

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

3613533855680 is a wasteful number, since it uses less digits than its factorization.

3613533855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582371 (or 582361 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 56.

The spelling of 3613533855680 in words is "three trillion, six hundred thirteen billion, five hundred thirty-three million, eight hundred fifty-five thousand, six hundred eighty".