3281215863744 has 2240 divisors, whose sum is σ = 13328229376000. Its totient is φ = 790091366400.

The previous prime is 3281215863721. The next prime is 3281215863781. The reversal of 3281215863744 is 4473685121823.

3281215863744 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 21 + 586 + 37 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13615003464 + ... + 13615003704.

It is an arithmetic number, because the mean of its divisors is an integer number (5950102400).

Almost surely, 2^{3281215863744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3281215863744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664114688000).

3281215863744 is an abundant number, since it is smaller than the sum of its proper divisors (10047013512256).

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

3281215863744 is a wasteful number, since it uses less digits than its factorization.

3281215863744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 316 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 3281215863744 in words is "three trillion, two hundred eighty-one billion, two hundred fifteen million, eight hundred sixty-three thousand, seven hundred forty-four".