3201613599744 has 396 divisors, whose sum is σ = 11152246027104. Its totient is φ = 914743259136.

The previous prime is 3201613599731. The next prime is 3201613599749. The reversal of 3201613599744 is 4479953161023.

3201613599744 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 6 + 1 + 3 + 599 + 7 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201613599749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12061477 + ... + 12324059.

Almost surely, 2^{3201613599744} 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 3201613599744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576123013552).

3201613599744 is an abundant number, since it is smaller than the sum of its proper divisors (7950632427360).

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

3201613599744 is an equidigital number, since it uses as much as digits as its factorization.

3201613599744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262632 (or 262595 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3201613599744 in words is "three trillion, two hundred one billion, six hundred thirteen million, five hundred ninety-nine thousand, seven hundred forty-four".