3117360 has 80 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 802560.

The previous prime is 3117299. The next prime is 3117421. The reversal of 3117360 is 637113.

It is an interprime number because it is at equal distance from previous prime (3117299) and next prime (3117421).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7231 + ... + 7649.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^3117360 is an apocalyptic number.

3117360 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 3117360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3117360 is an abundant number, since it is smaller than the sum of its proper divisors (6882000).

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

3117360 is a wasteful number, since it uses less digits than its factorization.

3117360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 3117360 is about 1765.6047122728. The cubic root of 3117360 is about 146.0816457080.

It can be divided in two parts, 31 and 17360, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 3117360 in words is "three million, one hundred seventeen thousand, three hundred sixty".