3128081040 has 240 divisors, whose sum is σ = 12393778176. Its totient is φ = 691891200.

The previous prime is 3128080961. The next prime is 3128081063. The reversal of 3128081040 is 401808213.

3128081040 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 (240).

It is a junction number, because it is equal to n+sod(n) for n = 3128080995 and 3128081013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146230 + ... + 166250.

Almost surely, 2^3128081040 is an apocalyptic number.

3128081040 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 3128081040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196889088).

3128081040 is an abundant number, since it is smaller than the sum of its proper divisors (9265697136).

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

3128081040 is a wasteful number, since it uses less digits than its factorization.

3128081040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20078 (or 20069 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3128081040 is about 55929.2503078666. The cubic root of 3128081040 is about 1462.4891921182.

Adding to 3128081040 its reverse (401808213), we get a palindrome (3529889253).

The spelling of 3128081040 in words is "three billion, one hundred twenty-eight million, eighty-one thousand, forty".