3305536544640 has 192 divisors, whose sum is σ = 11581330556880. Its totient is φ = 801342136320.

The previous prime is 3305536544603. The next prime is 3305536544671. The reversal of 3305536544640 is 464456355033.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3305536544640.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6881869 + ... + 7346508.

Almost surely, 2^{3305536544640} is an apocalyptic number.

3305536544640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3305536544640 is an abundant number, since it is smaller than the sum of its proper divisors (8275794012240).

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

3305536544640 is a wasteful number, since it uses less digits than its factorization.

3305536544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14228421 (or 14228398 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 48.

The spelling of 3305536544640 in words is "three trillion, three hundred five billion, five hundred thirty-six million, five hundred forty-four thousand, six hundred forty".