3603200 has 54 divisors (see below), whose sum is σ = 8934324. Its totient is φ = 1438720.

The previous prime is 3603169. The next prime is 3603227. The reversal of 3603200 is 23063.

3603200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 6119 + ... + 6681.

Almost surely, 2^3603200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467162).

3603200 is an abundant number, since it is smaller than the sum of its proper divisors (5331124).

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

3603200 is an equidigital number, since it uses as much as digits as its factorization.

3603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 3603200 is about 1898.2096828327. The cubic root of 3603200 is about 153.3072839596.

Adding to 3603200 its reverse (23063), we get a palindrome (3626263).

It can be divided in two parts, 3603 and 200, that multiplied together give a triangular number (720600 = T₁₂₀₀).

The spelling of 3603200 in words is "three million, six hundred three thousand, two hundred".