3243959040 has 576 divisors, whose sum is σ = 12997877760. Its totient is φ = 672399360.

The previous prime is 3243959027. The next prime is 3243959093. The reversal of 3243959040 is 409593423.

It is a self number, because there is not a number n which added to its sum of digits gives 3243959040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14165646 + ... + 14165874.

It is an arithmetic number, because the mean of its divisors is an integer number (22565760).

Almost surely, 2^3243959040 is an apocalyptic number.

3243959040 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 3243959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498938880).

3243959040 is an abundant number, since it is smaller than the sum of its proper divisors (9753918720).

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

3243959040 is a wasteful number, since it uses less digits than its factorization.

3243959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3243959040 is about 56955.7638874241. The cubic root of 3243959040 is about 1480.3297049720.

The spelling of 3243959040 in words is "three billion, two hundred forty-three million, nine hundred fifty-nine thousand, forty".