3605220 has 36 divisors (see below), whose sum is σ = 10936380. Its totient is φ = 961344.

The previous prime is 3605201. The next prime is 3605221. The reversal of 3605220 is 225063.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 2490084 = 1056^2 + 1578^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3605220² = 25995222496800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3605193 and 3605202.

It is not an unprimeable number, because it can be changed into a prime (3605221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9835 + ... + 10194.

Almost surely, 2^3605220 is an apocalyptic number.

3605220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3605220 is an abundant number, since it is smaller than the sum of its proper divisors (7331160).

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

3605220 is a wasteful number, since it uses less digits than its factorization.

3605220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20044 (or 20039 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3605220 is about 1898.7416885927. The cubic root of 3605220 is about 153.3359272823.

The spelling of 3605220 in words is "three million, six hundred five thousand, two hundred twenty".