3306361538016 has 72 divisors (see below), whose sum is σ = 9408764547000. Its totient is φ = 1101382177536.

The previous prime is 3306361537987. The next prime is 3306361538021. The reversal of 3306361538016 is 6108351636033.

3306361538016 is a `hidden beast` number, since 3 + 3 + 0 + 636 + 1 + 5 + 3 + 8 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3414766 + ... + 4274733.

It is an arithmetic number, because the mean of its divisors is an integer number (130677285375).

Almost surely, 2^{3306361538016} is an apocalyptic number.

3306361538016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3306361538016 is an abundant number, since it is smaller than the sum of its proper divisors (6102403008984).

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

3306361538016 is a wasteful number, since it uses less digits than its factorization.

3306361538016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691008 (or 7690997 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3306361538016 in words is "three trillion, three hundred six billion, three hundred sixty-one million, five hundred thirty-eight thousand, sixteen".