3258572834880 has 672 divisors, whose sum is σ = 12400394198400. Its totient is φ = 778810982400.

The previous prime is 3258572834863. The next prime is 3258572834887. The reversal of 3258572834880 is 884382758523.

It is a happy number.

3258572834880 is a `hidden beast` number, since 3 + 2 + 5 + 8 + 5 + 72 + 83 + 488 + 0 = 666.

It is a super-2 number, since 2×3258572834880² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3258572834887) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1096791795 + ... + 1096794765.

Almost surely, 2^{3258572834880} is an apocalyptic number.

3258572834880 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 3258572834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200197099200).

3258572834880 is an abundant number, since it is smaller than the sum of its proper divisors (9141821363520).

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

3258572834880 is a wasteful number, since it uses less digits than its factorization.

3258572834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 3258572834880 in words is "three trillion, two hundred fifty-eight billion, five hundred seventy-two million, eight hundred thirty-four thousand, eight hundred eighty".