3281659845120 has 240 divisors, whose sum is σ = 11389895142912. Its totient is φ = 873216368640.

The previous prime is 3281659845097. The next prime is 3281659845137. The reversal of 3281659845120 is 215489561823.

3281659845120 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 6 + 598 + 45 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 10513705 + ... + 10821335.

Almost surely, 2^{3281659845120} is an apocalyptic number.

3281659845120 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 3281659845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694947571456).

3281659845120 is an abundant number, since it is smaller than the sum of its proper divisors (8108235297792).

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

3281659845120 is a wasteful number, since it uses less digits than its factorization.

3281659845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308123 (or 308104 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 3281659845120 in words is "three trillion, two hundred eighty-one billion, six hundred fifty-nine million, eight hundred forty-five thousand, one hundred twenty".