3165360 has 120 divisors (see below), whose sum is σ = 10884720. Its totient is φ = 760320.

The previous prime is 3165341. The next prime is 3165367. The reversal of 3165360 is 635613.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3165360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3165367) 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, 28986 + ... + 29094.

It is an arithmetic number, because the mean of its divisors is an integer number (90706).

Almost surely, 2^3165360 is an apocalyptic number.

3165360 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 3165360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442360).

3165360 is an abundant number, since it is smaller than the sum of its proper divisors (7719360).

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

3165360 is a wasteful number, since it uses less digits than its factorization.

3165360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 3165360 is about 1779.1458624857. The cubic root of 3165360 is about 146.8276011230.

It can be divided in two parts, 31653 and 60, that added together give a palindrome (31713).

The spelling of 3165360 in words is "three million, one hundred sixty-five thousand, three hundred sixty".