3332245687680 has 512 divisors, whose sum is σ = 13376701578240. Its totient is φ = 686715273216.

The previous prime is 3332245687663. The next prime is 3332245687703. The reversal of 3332245687680 is 867865422333.

It is a super-2 number, since 2×3332245687680² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3332245687680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7291194 + ... + 7734726.

It is an arithmetic number, because the mean of its divisors is an integer number (26126370270).

Almost surely, 2^{3332245687680} is an apocalyptic number.

3332245687680 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 3332245687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688350789120).

3332245687680 is an abundant number, since it is smaller than the sum of its proper divisors (10044455890560).

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

3332245687680 is a wasteful number, since it uses less digits than its factorization.

3332245687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443618 (or 443606 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 3332245687680 in words is "three trillion, three hundred thirty-two billion, two hundred forty-five million, six hundred eighty-seven thousand, six hundred eighty".