3651200 has 96 divisors (see below), whose sum is σ = 10371360. Its totient is φ = 1244160.

The previous prime is 3651191. The next prime is 3651217. The reversal of 3651200 is 21563.

3651200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3651200² = 26662522880000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22319 + ... + 22481.

It is an arithmetic number, because the mean of its divisors is an integer number (108035).

Almost surely, 2^3651200 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 3651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185680).

3651200 is an abundant number, since it is smaller than the sum of its proper divisors (6720160).

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

3651200 is a wasteful number, since it uses less digits than its factorization.

3651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 3651200 is about 1910.8113459994. The cubic root of 3651200 is about 153.9850438053.

Adding to 3651200 its reverse (21563), we get a palindrome (3672763).

The spelling of 3651200 in words is "three million, six hundred fifty-one thousand, two hundred".