3243349226880 has 896 divisors, whose sum is σ = 14067624559680. Its totient is φ = 697716965376.

The previous prime is 3243349226861. The next prime is 3243349226921. The reversal of 3243349226880 is 886229433423.

3243349226880 is a `hidden beast` number, since 3 + 2 + 4 + 334 + 9 + 226 + 8 + 80 = 666.

3243349226880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 55491432 + ... + 55549848.

Almost surely, 2^{3243349226880} is an apocalyptic number.

3243349226880 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 3243349226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033812279840).

3243349226880 is an abundant number, since it is smaller than the sum of its proper divisors (10824275332800).

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

3243349226880 is an equidigital number, since it uses as much as digits as its factorization.

3243349226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58478 (or 58451 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 3243349226880 in words is "three trillion, two hundred forty-three billion, three hundred forty-nine million, two hundred twenty-six thousand, eight hundred eighty".