3652580 has 24 divisors (see below), whose sum is σ = 7720440. Its totient is φ = 1451520.

The previous prime is 3652573. The next prime is 3652589. The reversal of 3652580 is 852563.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 3602404 = 224^2 + 1898^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3652589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3116 + ... + 4124.

It is an arithmetic number, because the mean of its divisors is an integer number (321685).

Almost surely, 2^3652580 is an apocalyptic number.

It is an amenable number.

3652580 is an abundant number, since it is smaller than the sum of its proper divisors (4067860).

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

3652580 is a wasteful number, since it uses less digits than its factorization.

3652580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 3652580 is about 1911.1724150374. The cubic root of 3652580 is about 154.0044413179.

The spelling of 3652580 in words is "three million, six hundred fifty-two thousand, five hundred eighty".