34034141200 has 30 divisors (see below), whose sum is σ = 81767025194. Its totient is φ = 13613656320.

The previous prime is 34034141159. The next prime is 34034141221. The reversal of 34034141200 is 214143043.

It can be written as a sum of positive squares in 3 ways, for example, as 24880144 + 34009261056 = 4988^2 + 184416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42542277 + ... + 42543076.

Almost surely, 2^34034141200 is an apocalyptic number.

It is an amenable number.

34034141200 is an abundant number, since it is smaller than the sum of its proper divisors (47732883994).

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

34034141200 is a wasteful number, since it uses less digits than its factorization.

34034141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85085371 (or 85085360 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34034141200 its reverse (214143043), we get a palindrome (34248284243).

The spelling of 34034141200 in words is "thirty-four billion, thirty-four million, one hundred forty-one thousand, two hundred".