3643200 has 252 divisors, whose sum is σ = 14740128. Its totient is φ = 844800.

The previous prime is 3643181. The next prime is 3643201. The reversal of 3643200 is 23463.

3643200 is a `hidden beast` number, since 3 + 643 + 20 + 0 = 666.

3643200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643201) 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 35 ways as a sum of consecutive naturals, for example, 158389 + ... + 158411.

Almost surely, 2^3643200 is an apocalyptic number.

3643200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370064).

3643200 is an abundant number, since it is smaller than the sum of its proper divisors (11096928).

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

3643200 is a wasteful number, since it uses less digits than its factorization.

3643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3643200 is about 1908.7168464704. The cubic root of 3643200 is about 153.8724980527.

Adding to 3643200 its reverse (23463), we get a palindrome (3666663).

The spelling of 3643200 in words is "three million, six hundred forty-three thousand, two hundred".