3243319999920 has 3200 divisors, whose sum is σ = 16103969280000. Its totient is φ = 595047720960.

The previous prime is 3243319999889. The next prime is 3243319999921. The reversal of 3243319999920 is 299999133423.

3243319999920 is a `hidden beast` number, since 3 + 2 + 433 + 1 + 9 + 99 + 99 + 20 = 666.

It is a super-3 number, since 3×3243319999920³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3243319999921) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 141013913029 + ... + 141013913051.

It is an arithmetic number, because the mean of its divisors is an integer number (5032490400).

Almost surely, 2^{3243319999920} is an apocalyptic number.

3243319999920 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 3243319999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051984640000).

3243319999920 is an abundant number, since it is smaller than the sum of its proper divisors (12860649280080).

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

3243319999920 is a wasteful number, since it uses less digits than its factorization.

3243319999920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 63.

The spelling of 3243319999920 in words is "three trillion, two hundred forty-three billion, three hundred nineteen million, nine hundred ninety-nine thousand, nine hundred twenty".