3643040 has 24 divisors (see below), whose sum is σ = 8607060. Its totient is φ = 1457152.

The previous prime is 3643033. The next prime is 3643043. The reversal of 3643040 is 403463.

It is a happy number.

3643040 is digitally balanced in base 2, 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 2 ways, for example, as 3083536 + 559504 = 1756^2 + 748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3643043) 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 3 ways as a sum of consecutive naturals, for example, 11225 + ... + 11544.

Almost surely, 2^3643040 is an apocalyptic number.

It is an amenable number.

3643040 is an abundant number, since it is smaller than the sum of its proper divisors (4964020).

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

3643040 is a wasteful number, since it uses less digits than its factorization.

3643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22784 (or 22776 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3643040 is about 1908.6749330360. The cubic root of 3643040 is about 153.8702454579.

The spelling of 3643040 in words is "three million, six hundred forty-three thousand, forty".