3243537440 has 384 divisors, whose sum is σ = 9876142080. Its totient is φ = 987955200.

The previous prime is 3243537433. The next prime is 3243537463. The reversal of 3243537440 is 447353423.

It is a self number, because there is not a number n which added to its sum of digits gives 3243537440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12057626 + ... + 12057894.

It is an arithmetic number, because the mean of its divisors is an integer number (25719120).

Almost surely, 2^3243537440 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 3243537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938071040).

3243537440 is an abundant number, since it is smaller than the sum of its proper divisors (6632604640).

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

3243537440 is a wasteful number, since it uses less digits than its factorization.

3243537440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 35.

The square root of 3243537440 is about 56952.0626492140. The cubic root of 3243537440 is about 1480.2655720165.

The spelling of 3243537440 in words is "three billion, two hundred forty-three million, five hundred thirty-seven thousand, four hundred forty".