3243125760 has 528 divisors, whose sum is σ = 12545326080. Its totient is φ = 712212480.

The previous prime is 3243125749. The next prime is 3243125761. The reversal of 3243125760 is 675213423.

It is not an unprimeable number, because it can be changed into a prime (3243125761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23331771 + ... + 23331909.

Almost surely, 2^3243125760 is an apocalyptic number.

3243125760 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 3243125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272663040).

3243125760 is an abundant number, since it is smaller than the sum of its proper divisors (9302200320).

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

3243125760 is a wasteful number, since it uses less digits than its factorization.

3243125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 3243125760 is about 56948.4482668316. The cubic root of 3243125760 is about 1480.2029427086.

The spelling of 3243125760 in words is "three billion, two hundred forty-three million, one hundred twenty-five thousand, seven hundred sixty".