3675090585601 has 8 divisors (see below), whose sum is σ = 3929799835944. Its totient is φ = 3424662163200.

The previous prime is 3675090585587. The next prime is 3675090585653. The reversal of 3675090585601 is 1065850905763.

It can be written as a sum of positive squares in 4 ways, for example, as 3000433694976 + 674656890625 = 1732176^2 + 821375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3675090585601 - 2¹³ = 3675090577409 is a prime.

It is a super-2 number, since 2×3675090585601² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3675090585671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1070205210 + ... + 1070208643.

It is an arithmetic number, because the mean of its divisors is an integer number (491224979493).

Almost surely, 2^{3675090585601} is an apocalyptic number.

It is an amenable number.

3675090585601 is a deficient number, since it is larger than the sum of its proper divisors (254709250343).

3675090585601 is a wasteful number, since it uses less digits than its factorization.

3675090585601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140413971.

The product of its (nonzero) digits is 6804000, while the sum is 55.

The spelling of 3675090585601 in words is "three trillion, six hundred seventy-five billion, ninety million, five hundred eighty-five thousand, six hundred one".