3117999360 has 432 divisors, whose sum is σ = 11794337856. Its totient is φ = 699826176.

The previous prime is 3117999349. The next prime is 3117999371. The reversal of 3117999360 is 639997113.

It is an interprime number because it is at equal distance from previous prime (3117999349) and next prime (3117999371).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 13735567 + ... + 13735793.

It is an arithmetic number, because the mean of its divisors is an integer number (27301708).

Almost surely, 2^3117999360 is an apocalyptic number.

3117999360 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 3117999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897168928).

3117999360 is an abundant number, since it is smaller than the sum of its proper divisors (8676338496).

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

3117999360 is a wasteful number, since it uses less digits than its factorization.

3117999360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 48.

The square root of 3117999360 is about 55839.0487024985. The cubic root of 3117999360 is about 1460.9163197597.

The spelling of 3117999360 in words is "three billion, one hundred seventeen million, nine hundred ninety-nine thousand, three hundred sixty".