3666800 has 60 divisors (see below), whose sum is σ = 8994960. Its totient is φ = 1436160.

The previous prime is 3666797. The next prime is 3666809. The reversal of 3666800 is 86663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35549 + ... + 35651.

It is an arithmetic number, because the mean of its divisors is an integer number (149916).

Almost surely, 2^3666800 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 3666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497480).

3666800 is an abundant number, since it is smaller than the sum of its proper divisors (5328160).

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

3666800 is a wasteful number, since it uses less digits than its factorization.

3666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3666800 is about 1914.8890307274. The cubic root of 3666800 is about 154.2040360673.

The spelling of 3666800 in words is "three million, six hundred sixty-six thousand, eight hundred".