3320440412300 has 432 divisors, whose sum is σ = 8612736562080. Its totient is φ = 1106630553600.

The previous prime is 3320440412293. The next prime is 3320440412351. The reversal of 3320440412300 is 32140440233.

It is a super-2 number, since 2×3320440412300² (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 3320440412300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 889481234 + ... + 889484966.

It is an arithmetic number, because the mean of its divisors is an integer number (19936890190).

Almost surely, 2^{3320440412300} 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 3320440412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306368281040).

3320440412300 is an abundant number, since it is smaller than the sum of its proper divisors (5292296149780).

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

3320440412300 is a wasteful number, since it uses less digits than its factorization.

3320440412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 3320440412300 its reverse (32140440233), we get a palindrome (3352580852533).

The spelling of 3320440412300 in words is "three trillion, three hundred twenty billion, four hundred forty million, four hundred twelve thousand, three hundred".