3301569966240 has 2016 divisors, whose sum is σ = 14719811049216. Its totient is φ = 684745850880.

The previous prime is 3301569966199. The next prime is 3301569966259. The reversal of 3301569966240 is 426699651033.

3301569966240 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 5 + 6 + 9 + 9 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 9796943352 + ... + 9796943688.

It is an arithmetic number, because the mean of its divisors is an integer number (7301493576).

Almost surely, 2^{3301569966240} is an apocalyptic number.

3301569966240 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 3301569966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359905524608).

3301569966240 is an abundant number, since it is smaller than the sum of its proper divisors (11418241082976).

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

3301569966240 is a wasteful number, since it uses less digits than its factorization.

3301569966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 3301569966240 in words is "three trillion, three hundred one billion, five hundred sixty-nine million, nine hundred sixty-six thousand, two hundred forty".