3243556000 has 96 divisors (see below), whose sum is σ = 8006478480. Its totient is φ = 1291392000.

The previous prime is 3243555943. The next prime is 3243556007. The reversal of 3243556000 is 6553423.

It can be written as a sum of positive squares in 8 ways, for example, as 489825424 + 2753730576 = 22132^2 + 52476^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3243556000.

It is not an unprimeable number, because it can be changed into a prime (3243556007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 914230 + ... + 917770.

Almost surely, 2^3243556000 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 3243556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003239240).

3243556000 is an abundant number, since it is smaller than the sum of its proper divisors (4762922480).

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

3243556000 is a wasteful number, since it uses less digits than its factorization.

3243556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 3243556000 is about 56952.2255930354. The cubic root of 3243556000 is about 1480.2683954438.

The spelling of 3243556000 in words is "three billion, two hundred forty-three million, five hundred fifty-six thousand".