3324430660320 has 1296 divisors, whose sum is σ = 14879233749744. Its totient is φ = 668357222400.

The previous prime is 3324430660303. The next prime is 3324430660321. The reversal of 3324430660320 is 230660344233.

3324430660320 is a `hidden beast` number, since 3 + 3 + 2 + 4 + 43 + 0 + 6 + 603 + 2 + 0 = 666.

It is a super-2 number, since 2×3324430660320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324430660321) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 745887532 + ... + 745891988.

It is an arithmetic number, because the mean of its divisors is an integer number (11480890239).

Almost surely, 2^{3324430660320} is an apocalyptic number.

3324430660320 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 3324430660320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439616874872).

3324430660320 is an abundant number, since it is smaller than the sum of its proper divisors (11554803089424).

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

3324430660320 is a wasteful number, since it uses less digits than its factorization.

3324430660320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 3324430660320 in words is "three trillion, three hundred twenty-four billion, four hundred thirty million, six hundred sixty thousand, three hundred twenty".