3649040 has 20 divisors (see below), whose sum is σ = 8484204. Its totient is φ = 1459584.

The previous prime is 3649027. The next prime is 3649049. The reversal of 3649040 is 409463.

3649040 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 565504 + 3083536 = 752^2 + 1756^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3649049) 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, 22727 + ... + 22886.

Almost surely, 2^3649040 is an apocalyptic number.

It is an amenable number.

3649040 is an abundant number, since it is smaller than the sum of its proper divisors (4835164).

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

3649040 is a wasteful number, since it uses less digits than its factorization.

3649040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45626 (or 45620 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3649040 is about 1910.2460574491. The cubic root of 3649040 is about 153.9546726666.

The spelling of 3649040 in words is "three million, six hundred forty-nine thousand, forty".