3308463684960 has 768 divisors, whose sum is σ = 12897945446400. Its totient is φ = 710106808320.

The previous prime is 3308463684881. The next prime is 3308463684971. The reversal of 3308463684960 is 694863648033.

It is a happy number.

3308463684960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3308463684894 and 3308463684903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1530986280 + ... + 1530988440.

It is an arithmetic number, because the mean of its divisors is an integer number (16794199800).

Almost surely, 2^{3308463684960} is an apocalyptic number.

3308463684960 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 3308463684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448972723200).

3308463684960 is an abundant number, since it is smaller than the sum of its proper divisors (9589481761440).

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

3308463684960 is a wasteful number, since it uses less digits than its factorization.

3308463684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 60.

The spelling of 3308463684960 in words is "three trillion, three hundred eight billion, four hundred sixty-three million, six hundred eighty-four thousand, nine hundred sixty".