3536640 has 108 divisors (see below), whose sum is σ = 12276264. Its totient is φ = 940032.

The previous prime is 3536633. The next prime is 3536647. The reversal of 3536640 is 466353.

3536640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3536633) and next prime (3536647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3536647) 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, 11367 + ... + 11673.

Almost surely, 2^3536640 is an apocalyptic number.

3536640 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 3536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138132).

3536640 is an abundant number, since it is smaller than the sum of its proper divisors (8739624).

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

3536640 is a wasteful number, since it uses less digits than its factorization.

3536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3536640 is about 1880.5956503193. The cubic root of 3536640 is about 152.3574229543.

The spelling of 3536640 in words is "three million, five hundred thirty-six thousand, six hundred forty".