3306667944456 has 64 divisors (see below), whose sum is σ = 9194292600000. Its totient is φ = 1101130184448.

The previous prime is 3306667944421. The next prime is 3306667944491. The reversal of 3306667944456 is 6544497666033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3306667944421) and next prime (3306667944491).

It is a super-2 number, since 2×3306667944456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3306667944393 and 3306667944402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7368106 + ... + 7803993.

It is an arithmetic number, because the mean of its divisors is an integer number (143660821875).

Almost surely, 2^{3306667944456} is an apocalyptic number.

3306667944456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3306667944456 is an abundant number, since it is smaller than the sum of its proper divisors (5887624655544).

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

3306667944456 is a wasteful number, since it uses less digits than its factorization.

3306667944456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15173123 (or 15173113 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 63.

The spelling of 3306667944456 in words is "three trillion, three hundred six billion, six hundred sixty-seven million, nine hundred forty-four thousand, four hundred fifty-six".