3712320 has 84 divisors (see below), whose sum is σ = 12778740. Its totient is φ = 989184.

The previous prime is 3712309. The next prime is 3712327. The reversal of 3712320 is 232173.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 1498176 = 1488^2 + 1224^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3712293 and 3712302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2236 + ... + 3524.

Almost surely, 2^3712320 is an apocalyptic number.

3712320 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 3712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389370).

3712320 is an abundant number, since it is smaller than the sum of its proper divisors (9066420).

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

3712320 is a wasteful number, since it uses less digits than its factorization.

3712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3712320 is about 1926.7381762969. The cubic root of 3712320 is about 154.8395147808.

Adding to 3712320 its reverse (232173), we get a palindrome (3944493).

The spelling of 3712320 in words is "three million, seven hundred twelve thousand, three hundred twenty".