3117961728 has 240 divisors, whose sum is σ = 10738553760. Its totient is φ = 890652672.

The previous prime is 3117961723. The next prime is 3117961729. The reversal of 3117961728 is 8271697113.

3117961728 is a `hidden beast` number, since 3 + 1 + 1 + 7 + 9 + 617 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3117961723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675075 + ... + 679677.

It is an arithmetic number, because the mean of its divisors is an integer number (44743974).

Almost surely, 2^3117961728 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 3117961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369276880).

3117961728 is an abundant number, since it is smaller than the sum of its proper divisors (7620592032).

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

3117961728 is an equidigital number, since it uses as much as digits as its factorization.

3117961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4615 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 3117961728 is about 55838.7117329904. The cubic root of 3117961728 is about 1460.9104423345.

The spelling of 3117961728 in words is "three billion, one hundred seventeen million, nine hundred sixty-one thousand, seven hundred twenty-eight".