3535438345353 has 64 divisors (see below), whose sum is σ = 5571061459200. Its totient is φ = 2209561804800.

The previous prime is 3535438345343. The next prime is 3535438345363.

3535438345353 is a `hidden beast` number, since 3 + 5 + 3 + 543 + 8 + 3 + 45 + 3 + 53 = 666.

3535438345353 is nontrivially palindromic in base 10.

3535438345353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3535438345343) and next prime (3535438345363).

It is not a de Polignac number, because 3535438345353 - 2⁴ = 3535438345337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3535438345353.

It is not an unprimeable number, because it can be changed into a prime (3535438345343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97234825 + ... + 97271177.

It is an arithmetic number, because the mean of its divisors is an integer number (87047835300).

Almost surely, 2^{3535438345353} is an apocalyptic number.

It is an amenable number.

3535438345353 is a deficient number, since it is larger than the sum of its proper divisors (2035623113847).

3535438345353 is a wasteful number, since it uses less digits than its factorization.

3535438345353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38359 (or 38353 counting only the distinct ones).

The product of its digits is 58320000, while the sum is 54.

The spelling of 3535438345353 in words is "three trillion, five hundred thirty-five billion, four hundred thirty-eight million, three hundred forty-five thousand, three hundred fifty-three".