3117665760 has 192 divisors, whose sum is σ = 10743425280. Its totient is φ = 753684480.

The previous prime is 3117665701. The next prime is 3117665777. The reversal of 3117665760 is 675667113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2760876 + ... + 2762004.

It is an arithmetic number, because the mean of its divisors is an integer number (55955340).

Almost surely, 2^3117665760 is an apocalyptic number.

3117665760 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 3117665760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371712640).

3117665760 is an abundant number, since it is smaller than the sum of its proper divisors (7625759520).

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

3117665760 is a wasteful number, since it uses less digits than its factorization.

3117665760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 3117665760 is about 55836.0614656872. The cubic root of 3117665760 is about 1460.8642159360.

The spelling of 3117665760 in words is "three billion, one hundred seventeen million, six hundred sixty-five thousand, seven hundred sixty".