3309003424000 has 288 divisors, whose sum is σ = 8450755657344. Its totient is φ = 1290381926400.

The previous prime is 3309003423997. The next prime is 3309003424009. The reversal of 3309003424000 is 4243009033.

It is a self number, because there is not a number n which added to its sum of digits gives 3309003424000.

It is not an unprimeable number, because it can be changed into a prime (3309003424009) 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 31 ways as a sum of consecutive naturals, for example, 843486039 + ... + 843489961.

It is an arithmetic number, because the mean of its divisors is an integer number (29342901588).

Almost surely, 2^{3309003424000} 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 3309003424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225377828672).

3309003424000 is an abundant number, since it is smaller than the sum of its proper divisors (5141752233344).

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

3309003424000 is an equidigital number, since it uses as much as digits as its factorization.

3309003424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The spelling of 3309003424000 in words is "three trillion, three hundred nine billion, three million, four hundred twenty-four thousand".