3791200 has 72 divisors (see below), whose sum is σ = 10593072. Its totient is φ = 1297920.

The previous prime is 3791197. The next prime is 3791209. The reversal of 3791200 is 21973.

3791200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3791209) by changing a digit.

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, 5262 + ... + 5938.

It is an arithmetic number, because the mean of its divisors is an integer number (147126).

Almost surely, 2^3791200 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 3791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296536).

3791200 is an abundant number, since it is smaller than the sum of its proper divisors (6801872).

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

3791200 is a wasteful number, since it uses less digits than its factorization.

3791200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 3791200 is about 1947.1004082995. The cubic root of 3791200 is about 155.9285230300.

The spelling of 3791200 in words is "three million, seven hundred ninety-one thousand, two hundred".