3661200 has 150 divisors (see below), whose sum is σ = 13256034. Its totient is φ = 967680.

The previous prime is 3661181. The next prime is 3661211. The reversal of 3661200 is 21663.

It is a happy number.

3661200 is a `hidden beast` number, since 3 + 661 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 3640464 = 144^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32344 + ... + 32456.

Almost surely, 2^3661200 is an apocalyptic number.

3661200 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 3661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628017).

3661200 is an abundant number, since it is smaller than the sum of its proper divisors (9594834).

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

3661200 is a wasteful number, since it uses less digits than its factorization.

3661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3661200 is about 1913.4262462922. The cubic root of 3661200 is about 154.1254950523.

Adding to 3661200 its reverse (21663), we get a palindrome (3682863).

The spelling of 3661200 in words is "three million, six hundred sixty-one thousand, two hundred".