3242346800 has 360 divisors, whose sum is σ = 10203513600. Its totient is φ = 961804800.

The previous prime is 3242346799. The next prime is 3242346803. The reversal of 3242346800 is 86432423.

It is not an unprimeable number, because it can be changed into a prime (3242346803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16293101 + ... + 16293299.

Almost surely, 2^3242346800 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 3242346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101756800).

3242346800 is an abundant number, since it is smaller than the sum of its proper divisors (6961166800).

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

3242346800 is a wasteful number, since it uses less digits than its factorization.

3242346800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 3242346800 is about 56941.6086881992. The cubic root of 3242346800 is about 1480.0844242077.

The spelling of 3242346800 in words is "three billion, two hundred forty-two million, three hundred forty-six thousand, eight hundred".