3128424768 has 448 divisors, whose sum is σ = 11090493440. Its totient is φ = 856604160.

The previous prime is 3128424757. The next prime is 3128424773. The reversal of 3128424768 is 8674248213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30373005 + ... + 30373107.

Almost surely, 2^3128424768 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 3128424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545246720).

3128424768 is an abundant number, since it is smaller than the sum of its proper divisors (7962068672).

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

3128424768 is an equidigital number, since it uses as much as digits as its factorization.

3128424768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 3128424768 is about 55932.3231056962. The cubic root of 3128424768 is about 1462.5427585132.

The spelling of 3128424768 in words is "three billion, one hundred twenty-eight million, four hundred twenty-four thousand, seven hundred sixty-eight".