3312027908640 has 336 divisors, whose sum is σ = 12798149164416. Its totient is φ = 802915545600.

The previous prime is 3312027908627. The next prime is 3312027908671. The reversal of 3312027908640 is 468097202133.

3312027908640 is a `hidden beast` number, since 3 + 312 + 0 + 279 + 0 + 8 + 64 + 0 = 666.

It is a super-2 number, since 2×3312027908640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 7656 + ... + 2573735.

It is an arithmetic number, because the mean of its divisors is an integer number (38089729656).

Almost surely, 2^{3312027908640} is an apocalyptic number.

3312027908640 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 3312027908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399074582208).

3312027908640 is an abundant number, since it is smaller than the sum of its proper divisors (9486121255776).

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

3312027908640 is a wasteful number, since it uses less digits than its factorization.

3312027908640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581435 (or 2581412 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3312027908640 in words is "three trillion, three hundred twelve billion, twenty-seven million, nine hundred eight thousand, six hundred forty".