3615360 has 128 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 823296.

The previous prime is 3615349. The next prime is 3615389. The reversal of 3615360 is 635163.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 3615360.

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, 13306 + ... + 13574.

It is an arithmetic number, because the mean of its divisors is an integer number (103275).

Almost surely, 2^3615360 is an apocalyptic number.

3615360 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 3615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600).

3615360 is an abundant number, since it is smaller than the sum of its proper divisors (9603840).

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

3615360 is a wasteful number, since it uses less digits than its factorization.

3615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

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

The square root of 3615360 is about 1901.4100031293. The cubic root of 3615360 is about 153.4795496669.

The spelling of 3615360 in words is "three million, six hundred fifteen thousand, three hundred sixty".