3500201836849 has 24 divisors (see below), whose sum is σ = 3724746565176. Its totient is φ = 3288519168000.

The previous prime is 3500201836837. The next prime is 3500201836861. The reversal of 3500201836849 is 9486381020053.

It is an interprime number because it is at equal distance from previous prime (3500201836837) and next prime (3500201836861).

It can be written as a sum of positive squares in 12 ways, for example, as 38488554225 + 3461713282624 = 196185^2 + 1860568^2 .

It is not a de Polignac number, because 3500201836849 - 2³³ = 3491611902257 is a prime.

It is a super-2 number, since 2×3500201836849² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3500201836889) 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 23 ways as a sum of consecutive naturals, for example, 545114659 + ... + 545121079.

It is an arithmetic number, because the mean of its divisors is an integer number (155197773549).

Almost surely, 2^{3500201836849} is an apocalyptic number.

It is an amenable number.

3500201836849 is a deficient number, since it is larger than the sum of its proper divisors (224544728327).

3500201836849 is a wasteful number, since it uses less digits than its factorization.

3500201836849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9477 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 3500201836849 in words is "three trillion, five hundred billion, two hundred one million, eight hundred thirty-six thousand, eight hundred forty-nine".