3726640 has 40 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 1449216.

The previous prime is 3726631. The next prime is 3726647. The reversal of 3726640 is 466273.

3726640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3726599 and 3726608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3726647) 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 7 ways as a sum of consecutive naturals, for example, 2331 + ... + 3589.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 2^3726640 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 3726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

3726640 is an abundant number, since it is smaller than the sum of its proper divisors (5179040).

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

3726640 is a wasteful number, since it uses less digits than its factorization.

3726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 3726640 is about 1930.4507245719. The cubic root of 3726640 is about 155.0383533255.

The spelling of 3726640 in words is "three million, seven hundred twenty-six thousand, six hundred forty".