3205536313056 has 384 divisors, whose sum is σ = 10706550865920. Its totient is φ = 815625676800.

The previous prime is 3205536313043. The next prime is 3205536313061. The reversal of 3205536313056 is 6503136355023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3205536312999 and 3205536313017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89624905 + ... + 89660663.

It is an arithmetic number, because the mean of its divisors is an integer number (27881642880).

Almost surely, 2^{3205536313056} 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 3205536313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353275432960).

3205536313056 is an abundant number, since it is smaller than the sum of its proper divisors (7501014552864).

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

3205536313056 is a wasteful number, since it uses less digits than its factorization.

3205536313056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36038 (or 36030 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 42.

The spelling of 3205536313056 in words is "three trillion, two hundred five billion, five hundred thirty-six million, three hundred thirteen thousand, fifty-six".