3306827880720 has 1080 divisors, whose sum is σ = 14440795229952. Its totient is φ = 675160012800.

The previous prime is 3306827880703. The next prime is 3306827880767. The reversal of 3306827880720 is 270887286033.

It is a super-2 number, since 2×3306827880720² (a number of 26 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 184822975 + ... + 184840865.

Almost surely, 2^{3306827880720} is an apocalyptic number.

3306827880720 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 3306827880720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7220397614976).

3306827880720 is an abundant number, since it is smaller than the sum of its proper divisors (11133967349232).

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

3306827880720 is a wasteful number, since it uses less digits than its factorization.

3306827880720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17981 (or 17952 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3306827880720 in words is "three trillion, three hundred six billion, eight hundred twenty-seven million, eight hundred eighty thousand, seven hundred twenty".