34212505104 has 60 divisors (see below), whose sum is σ = 98082818652. Its totient is φ = 11126016000.

The previous prime is 34212505087. The next prime is 34212505109. The reversal of 34212505104 is 40150521243.

34212505104 is a `hidden beast` number, since 3 + 42 + 12 + 505 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 815673600 + 33396831504 = 28560^2 + 182748^2 .

It is not an unprimeable number, because it can be changed into a prime (34212505109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2891497 + ... + 2903304.

Almost surely, 2^34212505104 is an apocalyptic number.

It is an amenable number.

34212505104 is an abundant number, since it is smaller than the sum of its proper divisors (63870313548).

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

34212505104 is a wasteful number, since it uses less digits than its factorization.

34212505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794856 (or 5794847 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 34212505104 in words is "thirty-four billion, two hundred twelve million, five hundred five thousand, one hundred four".