3638120 has 32 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 1378368.

The previous prime is 3638113. The next prime is 3638147. The reversal of 3638120 is 218363.

3638120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 1634 + ... + 3153.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^3638120 is an apocalyptic number.

It is an amenable number.

3638120 is an abundant number, since it is smaller than the sum of its proper divisors (4980280).

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

3638120 is a wasteful number, since it uses less digits than its factorization.

3638120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3638120 is about 1907.3856453271. The cubic root of 3638120 is about 153.8009459477.

The spelling of 3638120 in words is "three million, six hundred thirty-eight thousand, one hundred twenty".