3305301676120 has 256 divisors, whose sum is σ = 8163085392000. Its totient is φ = 1199539224576.

The previous prime is 3305301676021. The next prime is 3305301676123. The reversal of 3305301676120 is 216761035033.

It is a self number, because there is not a number n which added to its sum of digits gives 3305301676120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305301676123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2219812336 + ... + 2219813824.

Almost surely, 2^{3305301676120} 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 3305301676120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081542696000).

3305301676120 is an abundant number, since it is smaller than the sum of its proper divisors (4857783715880).

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

3305301676120 is a wasteful number, since it uses less digits than its factorization.

3305301676120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 3305301676120 in words is "three trillion, three hundred five billion, three hundred one million, six hundred seventy-six thousand, one hundred twenty".