3468313728 has 448 divisors, whose sum is σ = 11772921600. Its totient is φ = 1007769600.

The previous prime is 3468313721. The next prime is 3468313741. The reversal of 3468313728 is 8273138643.

It is not an unprimeable number, because it can be changed into a prime (3468313721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31819338 + ... + 31819446.

Almost surely, 2^3468313728 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 3468313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886460800).

3468313728 is an abundant number, since it is smaller than the sum of its proper divisors (8304607872).

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

3468313728 is a wasteful number, since it uses less digits than its factorization.

3468313728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3468313728 is about 58892.3910874741. The cubic root of 3468313728 is about 1513.6987709444.

The spelling of 3468313728 in words is "three billion, four hundred sixty-eight million, three hundred thirteen thousand, seven hundred twenty-eight".