3638401 has 6 divisors (see below), whose sum is σ = 3939990. Its totient is φ = 3358368.

The previous prime is 3638351. The next prime is 3638407. The reversal of 3638401 is 1048363.

It can be written as a sum of positive squares in 3 ways, for example, as 119025 + 3519376 = 345^2 + 1876^2 .

It is not a de Polignac number, because 3638401 - 2¹⁵ = 3605633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3638407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10596 + ... + 10933.

It is an arithmetic number, because the mean of its divisors is an integer number (656665).

Almost surely, 2^3638401 is an apocalyptic number.

It is an amenable number.

3638401 is a deficient number, since it is larger than the sum of its proper divisors (301589).

3638401 is a wasteful number, since it uses less digits than its factorization.

3638401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21555 (or 21542 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3638401 is about 1907.4593049394. The cubic root of 3638401 is about 153.8049055892.

The spelling of 3638401 in words is "three million, six hundred thirty-eight thousand, four hundred one".