36385944001 has 9 divisors (see below), whose sum is σ = 39996773859. Its totient is φ = 33076223400.

The previous prime is 36385943989. The next prime is 36385944017. The reversal of 36385944001 is 10044958363.

The square root of 36385944001 is 190751.

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

It can be written as a sum of positive squares in only one way, i.e., 32778740401 + 3607203600 = 181049^2 + 60060^2 .

It is not a de Polignac number, because 36385944001 - 2⁵ = 36385943969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36385944071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2089591 + ... + 2106931.

Almost surely, 2^36385944001 is an apocalyptic number.

36385944001 is the 190751-st square number.

36385944001 is the 95376-th centered octagonal number.

It is an amenable number.

36385944001 is a deficient number, since it is larger than the sum of its proper divisors (3610829858).

36385944001 is an frugal number, since it uses more digits than its factorization.

36385944001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34704 (or 17352 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 36385944001 in words is "thirty-six billion, three hundred eighty-five million, nine hundred forty-four thousand, one".