3504640 has 60 divisors (see below), whose sum is σ = 8636166. Its totient is φ = 1363968.

The previous prime is 3504637. The next prime is 3504647. The reversal of 3504640 is 464053.

3504640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3504384 + 256 = 1872^2 + 16^2 .

It is not an unprimeable number, because it can be changed into a prime (3504647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94702 + ... + 94738.

Almost surely, 2^3504640 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 3504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318083).

3504640 is an abundant number, since it is smaller than the sum of its proper divisors (5131526).

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

3504640 is an frugal number, since it uses more digits than its factorization.

3504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3504640 is about 1872.0683748197. The cubic root of 3504640 is about 151.8965131227.

Multiplying 3504640 by its product of nonzero digits (1440), we get a square (5046681600 = 71040²).

Adding to 3504640 its reverse (464053), we get a palindrome (3968693).

The spelling of 3504640 in words is "three million, five hundred four thousand, six hundred forty".