3128711040 has 768 divisors, whose sum is σ = 13686865920. Its totient is φ = 640991232.

The previous prime is 3128711029. The next prime is 3128711111. The reversal of 3128711040 is 401178213.

3128711040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3128710995 and 3128711013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24635457 + ... + 24635583.

It is an arithmetic number, because the mean of its divisors is an integer number (17821440).

Almost surely, 2^3128711040 is an apocalyptic number.

3128711040 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 3128711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843432960).

3128711040 is an abundant number, since it is smaller than the sum of its proper divisors (10558154880).

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

3128711040 is a wasteful number, since it uses less digits than its factorization.

3128711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3128711040 is about 55934.8821398597. The cubic root of 3128711040 is about 1462.5873680000.

Adding to 3128711040 its reverse (401178213), we get a palindrome (3529889253).

The spelling of 3128711040 in words is "three billion, one hundred twenty-eight million, seven hundred eleven thousand, forty".