3306772385280 has 1440 divisors, whose sum is σ = 14423290225344. Its totient is φ = 693979840512.

The previous prime is 3306772385251. The next prime is 3306772385291. The reversal of 3306772385280 is 825832776033.

3306772385280 is a `hidden beast` number, since 3 + 30 + 67 + 7 + 23 + 8 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3419619357 + ... + 3419620323.

Almost surely, 2^{3306772385280} is an apocalyptic number.

3306772385280 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 3306772385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211645112672).

3306772385280 is an abundant number, since it is smaller than the sum of its proper divisors (11116517840064).

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

3306772385280 is a wasteful number, since it uses less digits than its factorization.

3306772385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3306772385280 in words is "three trillion, three hundred six billion, seven hundred seventy-two million, three hundred eighty-five thousand, two hundred eighty".