3306449507328 has 704 divisors, whose sum is σ = 10957509120000. Its totient is φ = 988689162240.

The previous prime is 3306449507321. The next prime is 3306449507329. The reversal of 3306449507328 is 8237059446033.

3306449507328 is a `hidden beast` number, since 3 + 3 + 0 + 64 + 49 + 507 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306449507321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1946114223 + ... + 1946115921.

Almost surely, 2^{3306449507328} 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 3306449507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478754560000).

3306449507328 is an abundant number, since it is smaller than the sum of its proper divisors (7651059612672).

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

3306449507328 is an equidigital number, since it uses as much as digits as its factorization.

3306449507328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3306449507328 in words is "three trillion, three hundred six billion, four hundred forty-nine million, five hundred seven thousand, three hundred twenty-eight".