3242315330100 has 1728 divisors, whose sum is σ = 13739600609280. Its totient is φ = 619799040000.

The previous prime is 3242315330087. The next prime is 3242315330123. The reversal of 3242315330100 is 10335132423.

3242315330100 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 315 + 330 + 10 + 0 = 666.

3242315330100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4423349334 + ... + 4423350066.

It is an arithmetic number, because the mean of its divisors is an integer number (7951157760).

Almost surely, 2^{3242315330100} is an apocalyptic number.

3242315330100 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 3242315330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869800304640).

3242315330100 is an abundant number, since it is smaller than the sum of its proper divisors (10497285279180).

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

3242315330100 is a wasteful number, since it uses less digits than its factorization.

3242315330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 3242315330100 in words is "three trillion, two hundred forty-two billion, three hundred fifteen million, three hundred thirty thousand, one hundred".