3538356538353 has 96 divisors (see below), whose sum is σ = 5902754257152. Its totient is φ = 1845866880000.

The previous prime is 3538356538309. The next prime is 3538356538427.

3538356538353 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3538356538353 - 2³⁰ = 3537282796529 is a prime.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3538356538153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357368703 + ... + 357378603.

It is an arithmetic number, because the mean of its divisors is an integer number (61487023512).

Almost surely, 2^{3538356538353} is an apocalyptic number.

It is an amenable number.

3538356538353 is a deficient number, since it is larger than the sum of its proper divisors (2364397718799).

3538356538353 is a wasteful number, since it uses less digits than its factorization.

3538356538353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11035 (or 11022 counting only the distinct ones).

The product of its digits is 174960000, while the sum is 60.

The spelling of 3538356538353 in words is "three trillion, five hundred thirty-eight billion, three hundred fifty-six million, five hundred thirty-eight thousand, three hundred fifty-three".