3741200 has 60 divisors (see below), whose sum is σ = 9225600. Its totient is φ = 1457280.

The previous prime is 3741197. The next prime is 3741211. The reversal of 3741200 is 21473.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18701 + ... + 18899.

It is an arithmetic number, because the mean of its divisors is an integer number (153760).

Almost surely, 2^3741200 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 3741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612800).

3741200 is an abundant number, since it is smaller than the sum of its proper divisors (5484400).

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

3741200 is a wasteful number, since it uses less digits than its factorization.

3741200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 3741200 is about 1934.2181883128. The cubic root of 3741200 is about 155.2400027964.

Adding to 3741200 its reverse (21473), we get a palindrome (3762673).

The spelling of 3741200 in words is "three million, seven hundred forty-one thousand, two hundred".