34111444104 has 24 divisors (see below), whose sum is σ = 92385161310. Its totient is φ = 11370481344.

The previous prime is 34111444099. The next prime is 34111444127. The reversal of 34111444104 is 40144411143.

34111444104 is a `hidden beast` number, since 3 + 4 + 111 + 444 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32040284004 + 2071160100 = 178998^2 + 45510^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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, 236884957 + ... + 236885100.

Almost surely, 2^34111444104 is an apocalyptic number.

It is an amenable number.

34111444104 is an abundant number, since it is smaller than the sum of its proper divisors (58273717206).

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

34111444104 is a wasteful number, since it uses less digits than its factorization.

34111444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473770069 (or 473770062 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 34111444104 its reverse (40144411143), we get a palindrome (74255855247).

The spelling of 34111444104 in words is "thirty-four billion, one hundred eleven million, four hundred forty-four thousand, one hundred four".