3724200 has 72 divisors (see below), whose sum is σ = 12513150. Its totient is φ = 992640.

The previous prime is 3724181. The next prime is 3724211. The reversal of 3724200 is 24273.

It is a happy number.

3724200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2090916 + 1633284 = 1446^2 + 1278^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 766 + ... + 2834.

Almost surely, 2^3724200 is an apocalyptic number.

3724200 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 3724200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256575).

3724200 is an abundant number, since it is smaller than the sum of its proper divisors (8788950).

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

3724200 is a wasteful number, since it uses less digits than its factorization.

3724200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3724200 is about 1929.8186443290. The cubic root of 3724200 is about 155.0045090606.

Adding to 3724200 its reverse (24273), we get a palindrome (3748473).

The spelling of 3724200 in words is "three million, seven hundred twenty-four thousand, two hundred".