3605760 has 108 divisors (see below), whose sum is σ = 12515412. Its totient is φ = 958464.

The previous prime is 3605759. The next prime is 3605783. The reversal of 3605760 is 675063.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 3154176 = 672^2 + 1776^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11364 + ... + 11676.

Almost surely, 2^3605760 is an apocalyptic number.

3605760 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 3605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257706).

3605760 is an abundant number, since it is smaller than the sum of its proper divisors (8909652).

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

3605760 is a wasteful number, since it uses less digits than its factorization.

3605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3605760 is about 1898.8838827058. The cubic root of 3605760 is about 153.3435825957.

It can be divided in two parts, 360 and 5760, that multiplied together give a square (2073600 = 1440²).

The spelling of 3605760 in words is "three million, six hundred five thousand, seven hundred sixty".