3305362849920 has 192 divisors, whose sum is σ = 11486533794840. Its totient is φ = 875815649280.

The previous prime is 3305362849897. The next prime is 3305362849933. The reversal of 3305362849920 is 299482635033.

It is a happy number.

3305362849920 is a `hidden beast` number, since 3 + 3 + 0 + 5 + 3 + 628 + 4 + 9 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2920079462976 + 385283386944 = 1708824^2 + 620712^2 .

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

It is a super-5 number, since 5×3305362849920⁵ (a number of 64 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923221 + ... + 2731860.

Almost surely, 2^{3305362849920} is an apocalyptic number.

3305362849920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3305362849920 is an abundant number, since it is smaller than the sum of its proper divisors (8181170944920).

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

3305362849920 is a wasteful number, since it uses less digits than its factorization.

3305362849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655263 (or 3655248 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3305362849920 in words is "three trillion, three hundred five billion, three hundred sixty-two million, eight hundred forty-nine thousand, nine hundred twenty".