34003334434100 has 18 divisors (see below), whose sum is σ = 73787235722214. Its totient is φ = 13601333773600.

The previous prime is 34003334434061. The next prime is 34003334434151. The reversal of 34003334434100 is 143443330043.

34003334434100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 85709588644 + 33917624845456 = 292762^2 + 5823884^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 170016672071 + ... + 170016672270.

Almost surely, 2^{34003334434100} is an apocalyptic number.

It is an amenable number.

34003334434100 is an abundant number, since it is smaller than the sum of its proper divisors (39783901288114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34003334434100 is a wasteful number, since it uses less digits than its factorization.

34003334434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340033344355 (or 340033344348 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 34003334434100 its reverse (143443330043), we get a palindrome (34146777764143).

The spelling of 34003334434100 in words is "thirty-four trillion, three billion, three hundred thirty-four million, four hundred thirty-four thousand, one hundred".