3305328768000 has 4224 divisors, whose sum is σ = 16068581867520. Its totient is φ = 659305267200.

The previous prime is 3305328767971. The next prime is 3305328768013. The reversal of 3305328768000 is 8678235033.

3305328768000 is a `hidden beast` number, since 3 + 30 + 532 + 8 + 7 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 70326143977 + ... + 70326144023.

Almost surely, 2^{3305328768000} is an apocalyptic number.

3305328768000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305328768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8034290933760).

3305328768000 is an abundant number, since it is smaller than the sum of its proper divisors (12763253099520).

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

3305328768000 is a wasteful number, since it uses less digits than its factorization.

3305328768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3305328768000 in words is "three trillion, three hundred five billion, three hundred twenty-eight million, seven hundred sixty-eight thousand".