3634200 has 96 divisors (see below), whose sum is σ = 12536400. Its totient is φ = 967680.

The previous prime is 3634171. The next prime is 3634201. The reversal of 3634200 is 24363.

3634200 is digitally balanced in base 2 and base 5, because in such bases 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 (3634201) 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 23 ways as a sum of consecutive naturals, for example, 5064 + ... + 5736.

Almost surely, 2^3634200 is an apocalyptic number.

3634200 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 3634200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268200).

3634200 is an abundant number, since it is smaller than the sum of its proper divisors (8902200).

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

3634200 is a wasteful number, since it uses less digits than its factorization.

3634200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 683 counting only the distinct ones).

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

The square root of 3634200 is about 1906.3577838381. The cubic root of 3634200 is about 153.7456869700.

Adding to 3634200 its reverse (24363), we get a palindrome (3658563).

The spelling of 3634200 in words is "three million, six hundred thirty-four thousand, two hundred".