3221834863104 has 960 divisors, whose sum is σ = 11331026910720. Its totient is φ = 896000901120.

The previous prime is 3221834863057. The next prime is 3221834863201. The reversal of 3221834863104 is 4013684381223.

3221834863104 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 8 + 3 + 4 + 8 + 631 + 0 + 4 = 666.

It is a super-2 number, since 2×3221834863104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3221834863104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7272764707 + ... + 7272765149.

It is an arithmetic number, because the mean of its divisors is an integer number (11803153032).

Almost surely, 2^{3221834863104} 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 3221834863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665513455360).

3221834863104 is an abundant number, since it is smaller than the sum of its proper divisors (8109192047616).

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

3221834863104 is a wasteful number, since it uses less digits than its factorization.

3221834863104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3221834863104 in words is "three trillion, two hundred twenty-one billion, eight hundred thirty-four million, eight hundred sixty-three thousand, one hundred four".