34112444100 has 72 divisors (see below), whose sum is σ = 112798488768. Its totient is φ = 7797129600.

The previous prime is 34112444077. The next prime is 34112444111. The reversal of 34112444100 is 144421143.

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 23 ways as a sum of consecutive naturals, for example, 8119911 + ... + 8124110.

Almost surely, 2^34112444100 is an apocalyptic number.

34112444100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34112444100 is an abundant number, since it is smaller than the sum of its proper divisors (78686044668).

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

34112444100 is a wasteful number, since it uses less digits than its factorization.

34112444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16244045 (or 16244038 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34112444100 its reverse (144421143), we get a palindrome (34256865243).

The spelling of 34112444100 in words is "thirty-four billion, one hundred twelve million, four hundred forty-four thousand, one hundred".