3705360 has 40 divisors (see below), whose sum is σ = 11487360. Its totient is φ = 988032.

The previous prime is 3705347. The next prime is 3705367. The reversal of 3705360 is 635073.

It is a tau number, because it is divible by the number of its divisors (40).

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 3705360.

It is not an unprimeable number, because it can be changed into a prime (3705367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7480 + ... + 7959.

It is an arithmetic number, because the mean of its divisors is an integer number (287184).

Almost surely, 2^3705360 is an apocalyptic number.

3705360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3705360 is an abundant number, since it is smaller than the sum of its proper divisors (7782000).

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

3705360 is a wasteful number, since it uses less digits than its factorization.

3705360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15455 (or 15449 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 3705360 is about 1924.9311676005. The cubic root of 3705360 is about 154.7426878891.

The spelling of 3705360 in words is "three million, seven hundred five thousand, three hundred sixty".