3683200 has 48 divisors (see below), whose sum is σ = 9106560. Its totient is φ = 1472000.

The previous prime is 3683189. The next prime is 3683201. The reversal of 3683200 is 23863.

3683200 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2625 + ... + 3775.

It is an arithmetic number, because the mean of its divisors is an integer number (189720).

Almost surely, 2^3683200 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 3683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553280).

3683200 is an abundant number, since it is smaller than the sum of its proper divisors (5423360).

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

3683200 is a wasteful number, since it uses less digits than its factorization.

3683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3683200 is about 1919.1664857432. The cubic root of 3683200 is about 154.4335900144.

It can be divided in two parts, 3683 and 200, that added together give a palindrome (3883).

The spelling of 3683200 in words is "three million, six hundred eighty-three thousand, two hundred".