3643600 has 30 divisors (see below), whose sum is σ = 8754710. Its totient is φ = 1457280.

The previous prime is 3643579. The next prime is 3643603. The reversal of 3643600 is 63463.

3643600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 3640464 = 56^2 + 1908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4155 + ... + 4954.

Almost surely, 2^3643600 is an apocalyptic number.

It is an amenable number.

3643600 is an abundant number, since it is smaller than the sum of its proper divisors (5111110).

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

3643600 is a wasteful number, since it uses less digits than its factorization.

3643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3643600 is about 1908.8216260300. The cubic root of 3643600 is about 153.8781292512.

The spelling of 3643600 in words is "three million, six hundred forty-three thousand, six hundred".