3305313325132 has 192 divisors, whose sum is σ = 7721740938240. Its totient is φ = 1200971096064.

The previous prime is 3305313325129. The next prime is 3305313325177. The reversal of 3305313325132 is 2315233135033.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 49984563 + ... + 50050645.

It is an arithmetic number, because the mean of its divisors is an integer number (40217400720).

Almost surely, 2^{3305313325132} 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 3305313325132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860870469120).

3305313325132 is an abundant number, since it is smaller than the sum of its proper divisors (4416427613108).

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

3305313325132 is a wasteful number, since it uses less digits than its factorization.

3305313325132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66320 (or 66318 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 34.

The spelling of 3305313325132 in words is "three trillion, three hundred five billion, three hundred thirteen million, three hundred twenty-five thousand, one hundred thirty-two".