3308282809920 has 896 divisors, whose sum is σ = 13714279464960. Its totient is φ = 742376448000.

The previous prime is 3308282809913. The next prime is 3308282809921. The reversal of 3308282809920 is 299082828033.

3308282809920 is a `hidden beast` number, since 330 + 8 + 2 + 8 + 280 + 9 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3308282809921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67739110 + ... + 67787930.

Almost surely, 2^{3308282809920} is an apocalyptic number.

3308282809920 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 3308282809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857139732480).

3308282809920 is an abundant number, since it is smaller than the sum of its proper divisors (10405996655040).

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

3308282809920 is a wasteful number, since it uses less digits than its factorization.

3308282809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48912 (or 48896 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3308282809920 in words is "three trillion, three hundred eight billion, two hundred eighty-two million, eight hundred nine thousand, nine hundred twenty".