3111360 has 112 divisors (see below), whose sum is σ = 11314176. Its totient is φ = 709632.

The previous prime is 3111349. The next prime is 3111397. The reversal of 3111360 is 631113.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3111360² = 19361122099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 6489 + ... + 6951.

Almost surely, 2^3111360 is an apocalyptic number.

3111360 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 3111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657088).

3111360 is an abundant number, since it is smaller than the sum of its proper divisors (8202816).

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

3111360 is a wasteful number, since it uses less digits than its factorization.

3111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3111360 is about 1763.9047593337. The cubic root of 3111360 is about 145.9878641317.

Adding to 3111360 its reverse (631113), we get a palindrome (3742473).

The spelling of 3111360 in words is "three million, one hundred eleven thousand, three hundred sixty".