3638601 has 20 divisors (see below), whose sum is σ = 5626500. Its totient is φ = 2340576.

The previous prime is 3638573. The next prime is 3638639. The reversal of 3638601 is 1068363.

3638601 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 1565001 + 2073600 = 1251^2 + 1440^2 .

It is not a de Polignac number, because 3638601 - 2⁷ = 3638473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

3638601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3638641) 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 19 ways as a sum of consecutive naturals, for example, 1575 + ... + 3123.

It is an arithmetic number, because the mean of its divisors is an integer number (281325).

Almost surely, 2^3638601 is an apocalyptic number.

It is an amenable number.

3638601 is a deficient number, since it is larger than the sum of its proper divisors (1987899).

3638601 is a wasteful number, since it uses less digits than its factorization.

3638601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3638601 is about 1907.5117299770. The cubic root of 3638601 is about 153.8077237152.

The spelling of 3638601 in words is "three million, six hundred thirty-eight thousand, six hundred one".