3301445313000 has 576 divisors, whose sum is σ = 11525552110800. Its totient is φ = 852071500800.

The previous prime is 3301445312969. The next prime is 3301445313043. The reversal of 3301445313000 is 3135441033.

3301445313000 is a `hidden beast` number, since 3 + 301 + 4 + 4 + 53 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3974293764 + 3297471019236 = 63042^2 + 1815894^2 .

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, 2976956446 + ... + 2976957554.

Almost surely, 2^{3301445313000} is an apocalyptic number.

3301445313000 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 3301445313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762776055400).

3301445313000 is an abundant number, since it is smaller than the sum of its proper divisors (8224106797800).

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

3301445313000 is a wasteful number, since it uses less digits than its factorization.

3301445313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 3301445313000 in words is "three trillion, three hundred one billion, four hundred forty-five million, three hundred thirteen thousand".