3727312 has 30 divisors (see below), whose sum is σ = 7506278. Its totient is φ = 1792896.

The previous prime is 3727309. The next prime is 3727313. The reversal of 3727312 is 2137273.

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 3519376 = 456^2 + 1876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3727313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13318 + ... + 13594.

Almost surely, 2^3727312 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 3727312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753139).

3727312 is an abundant number, since it is smaller than the sum of its proper divisors (3778966).

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

3727312 is a wasteful number, since it uses less digits than its factorization.

3727312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 308 counting only the distinct ones).

The product of its digits is 1764, while the sum is 25.

The square root of 3727312 is about 1930.6247693428. The cubic root of 3727312 is about 155.0476717743.

The spelling of 3727312 in words is "three million, seven hundred twenty-seven thousand, three hundred twelve".