3604200 has 48 divisors (see below), whose sum is σ = 11174880. Its totient is φ = 960960.

The previous prime is 3604199. The next prime is 3604213. The reversal of 3604200 is 24063.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3604200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2404 + ... + 3603.

It is an arithmetic number, because the mean of its divisors is an integer number (232810).

Almost surely, 2^3604200 is an apocalyptic number.

3604200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3604200 is an abundant number, since it is smaller than the sum of its proper divisors (7570680).

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

3604200 is a wasteful number, since it uses less digits than its factorization.

3604200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026 (or 6017 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3604200 is about 1898.4730706544. The cubic root of 3604200 is about 153.3214651600.

Adding to 3604200 its reverse (24063), we get a palindrome (3628263).

It can be divided in two parts, 360 and 4200, that added together give a triangular number (4560 = T₉₅).

The spelling of 3604200 in words is "three million, six hundred four thousand, two hundred".