3106441728 has 180 divisors, whose sum is σ = 9710530830. Its totient is φ = 955588608.

The previous prime is 3106441697. The next prime is 3106441753. The reversal of 3106441728 is 8271446013.

3106441728 is a `hidden beast` number, since 3 + 1 + 0 + 644 + 1 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1515389184 + 1591052544 = 38928^2 + 39888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3106441692 and 3106441701.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 776758 + ... + 780746.

Almost surely, 2^3106441728 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 3106441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855265415).

3106441728 is an abundant number, since it is smaller than the sum of its proper divisors (6604089102).

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

3106441728 is a wasteful number, since it uses less digits than its factorization.

3106441728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3106441728 is about 55735.4620327131. The cubic root of 3106441728 is about 1459.1090028665.

The spelling of 3106441728 in words is "three billion, one hundred six million, four hundred forty-one thousand, seven hundred twenty-eight".