34415034561 has 12 divisors (see below), whose sum is σ = 49714194192. Its totient is φ = 22941700056.

The previous prime is 34415034551. The next prime is 34415034581. The reversal of 34415034561 is 16543051443.

34415034561 is a `hidden beast` number, since 3 + 4 + 41 + 50 + 3 + 4 + 561 = 666.

It is not a de Polignac number, because 34415034561 - 2³⁰ = 33341292737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34415034551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930 + ... + 262356.

It is an arithmetic number, because the mean of its divisors is an integer number (4142849516).

Almost surely, 2^34415034561 is an apocalyptic number.

It is an amenable number.

34415034561 is a deficient number, since it is larger than the sum of its proper divisors (15299159631).

34415034561 is a wasteful number, since it uses less digits than its factorization.

34415034561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276060 (or 276057 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34415034561 in words is "thirty-four billion, four hundred fifteen million, thirty-four thousand, five hundred sixty-one".