3255007889952 has 720 divisors, whose sum is σ = 12045301900632. Its totient is φ = 854678200320.

The previous prime is 3255007889909. The next prime is 3255007889957. The reversal of 3255007889952 is 2599887005523.

3255007889952 is a `hidden beast` number, since 3 + 2 + 5 + 500 + 78 + 8 + 9 + 9 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2329787060496 + 925220829456 = 1526364^2 + 961884^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3255007889952.

It is not an unprimeable number, because it can be changed into a prime (3255007889957) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 384703002 + ... + 384711462.

Almost surely, 2^{3255007889952} is an apocalyptic number.

3255007889952 is a gapful number since it is divisible by the number (32) 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 3255007889952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022650950316).

3255007889952 is an abundant number, since it is smaller than the sum of its proper divisors (8790294010680).

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

3255007889952 is a wasteful number, since it uses less digits than its factorization.

3255007889952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8743 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 3255007889952 in words is "three trillion, two hundred fifty-five billion, seven million, eight hundred eighty-nine thousand, nine hundred fifty-two".