3120841728 has 132 divisors (see below), whose sum is σ = 9322897740. Its totient is φ = 1004322816.

The previous prime is 3120841681. The next prime is 3120841747. The reversal of 3120841728 is 8271480213.

3120841728 is a `hidden beast` number, since 31 + 208 + 417 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2194735104 + 926106624 = 46848^2 + 30432^2 .

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 = 3120841692 and 3120841701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261426 + ... + 273102.

Almost surely, 2^3120841728 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 3120841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661448870).

3120841728 is an abundant number, since it is smaller than the sum of its proper divisors (6202056012).

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

3120841728 is a wasteful number, since it uses less digits than its factorization.

3120841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11732 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3120841728 is about 55864.4943412182. The cubic root of 3120841728 is about 1461.3601086729.

The spelling of 3120841728 in words is "three billion, one hundred twenty million, eight hundred forty-one thousand, seven hundred twenty-eight".