3638941575201 has 9 divisors (see below), whose sum is σ = 5256257208241. Its totient is φ = 2425957234932.

The previous prime is 3638941575187. The next prime is 3638941575221. The reversal of 3638941575201 is 1025751498363.

It is a happy number.

The square root of 3638941575201 is 1907601.

It is a perfect power (a square), and thus also a powerful number.

3638941575201 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 9 + 41 + 575 + 20 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3638941575201 - 2⁹ = 3638941574689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3638941575221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5404870 + ... + 6040736.

It is a 1-persistent number, because it is pandigital, but 2⋅3638941575201 = 7277883150402 is not.

Almost surely, 2^{3638941575201} is an apocalyptic number.

3638941575201 is the 1907601-st square number.

3638941575201 is the 953801-st centered octagonal number.

It is an amenable number.

3638941575201 is a deficient number, since it is larger than the sum of its proper divisors (1617315633040).

3638941575201 is an frugal number, since it uses more digits than its factorization.

3638941575201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271740 (or 635870 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3638941575201 in words is "three trillion, six hundred thirty-eight billion, nine hundred forty-one million, five hundred seventy-five thousand, two hundred one".