3635840 has 128 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 1216512.

The previous prime is 3635831. The next prime is 3635857. The reversal of 3635840 is 485363.

3635840 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 (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 158069 + ... + 158091.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

Almost surely, 2^3635840 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 3635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

3635840 is an abundant number, since it is smaller than the sum of its proper divisors (6645760).

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

3635840 is a wasteful number, since it uses less digits than its factorization.

3635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 3635840 is about 1906.7878749352. The cubic root of 3635840 is about 153.7688103542.

The spelling of 3635840 in words is "three million, six hundred thirty-five thousand, eight hundred forty".