3302420970816 has 672 divisors, whose sum is σ = 11049276026880. Its totient is φ = 965492352000.

The previous prime is 3302420970809. The next prime is 3302420970839. The reversal of 3302420970816 is 6180790242033.

3302420970816 is a `hidden beast` number, since 330 + 242 + 0 + 9 + 70 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3026966431 + ... + 3026967521.

It is an arithmetic number, because the mean of its divisors is an integer number (16442375040).

Almost surely, 2^{3302420970816} is an apocalyptic number.

3302420970816 is a gapful number since it is divisible by the number (36) 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 3302420970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524638013440).

3302420970816 is an abundant number, since it is smaller than the sum of its proper divisors (7746855056064).

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

3302420970816 is a wasteful number, since it uses less digits than its factorization.

3302420970816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3302420970816 in words is "three trillion, three hundred two billion, four hundred twenty million, nine hundred seventy thousand, eight hundred sixteen".