3723200 has 84 divisors (see below), whose sum is σ = 9921240. Its totient is φ = 1367040.

The previous prime is 3723149. The next prime is 3723211. The reversal of 3723200 is 23273.

3723200 = 103² + 104² + ... + 230².

3723200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3723200 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 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, 20711 + ... + 20889.

It is an arithmetic number, because the mean of its divisors is an integer number (118110).

Almost surely, 2^3723200 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 3723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960620).

3723200 is an abundant number, since it is smaller than the sum of its proper divisors (6198040).

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

3723200 is a wasteful number, since it uses less digits than its factorization.

3723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 3723200 is about 1929.5595352308. The cubic root of 3723200 is about 154.9906341895.

Adding to 3723200 its reverse (23273), we get a palindrome (3746473).

The spelling of 3723200 in words is "three million, seven hundred twenty-three thousand, two hundred".