3332307480768 has 840 divisors, whose sum is σ = 12191211523040. Its totient is φ = 881223598080.

The previous prime is 3332307480763. The next prime is 3332307480773. The reversal of 3332307480768 is 8670847032333.

3332307480768 is a `hidden beast` number, since 33 + 32 + 30 + 7 + 480 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3332307480763) and next prime (3332307480773).

It is a super-2 number, since 2×3332307480768² (a number of 26 digits) contains 22 as substring.

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 (3332307480763) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 639718548 + ... + 639723756.

Almost surely, 2^{3332307480768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332307480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095605761520).

3332307480768 is an abundant number, since it is smaller than the sum of its proper divisors (8858904042272).

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

3332307480768 is a wasteful number, since it uses less digits than its factorization.

3332307480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 3332307480768 in words is "three trillion, three hundred thirty-two billion, three hundred seven million, four hundred eighty thousand, seven hundred sixty-eight".