3305656448640 has 2304 divisors, whose sum is σ = 15015293879040. Its totient is φ = 677221171200.

The previous prime is 3305656448603. The next prime is 3305656448651. The reversal of 3305656448640 is 468446565033.

3305656448640 is a `hidden beast` number, since 3 + 3 + 0 + 5 + 65 + 64 + 486 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 15666618135 + ... + 15666618345.

It is an arithmetic number, because the mean of its divisors is an integer number (6517054635).

Almost surely, 2^{3305656448640} is an apocalyptic number.

3305656448640 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 3305656448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507646939520).

3305656448640 is an abundant number, since it is smaller than the sum of its proper divisors (11709637430400).

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

3305656448640 is an equidigital number, since it uses as much as digits as its factorization.

3305656448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 3305656448640 in words is "three trillion, three hundred five billion, six hundred fifty-six million, four hundred forty-eight thousand, six hundred forty".