35200442333104 has 20 divisors (see below), whose sum is σ = 68201055970360. Its totient is φ = 17600169824640.

The previous prime is 35200442333083. The next prime is 35200442333123. The reversal of 35200442333104 is 40133324400253.

35200442333104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×35200442333104³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 35200442333104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2786884 + ... + 8841244.

It is an arithmetic number, because the mean of its divisors is an integer number (3410052798518).

Almost surely, 2^{35200442333104} is an apocalyptic number.

It is an amenable number.

35200442333104 is a deficient number, since it is larger than the sum of its proper divisors (33000613637256).

35200442333104 is a wasteful number, since it uses less digits than its factorization.

35200442333104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417748 (or 6417742 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 35200442333104 its reverse (40133324400253), we get a palindrome (75333766733357).

The spelling of 35200442333104 in words is "thirty-five trillion, two hundred billion, four hundred forty-two million, three hundred thirty-three thousand, one hundred four".