34341056361 has 48 divisors (see below), whose sum is σ = 55141632000. Its totient is φ = 20495936736.

The previous prime is 34341056303. The next prime is 34341056369. The reversal of 34341056361 is 16365014343.

34341056361 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 10 + 5 + 636 + 1 = 666.

It is not a de Polignac number, because 34341056361 - 2¹⁴ = 34341039977 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34341056369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273840 + ... + 379038.

It is an arithmetic number, because the mean of its divisors is an integer number (1148784000).

Almost surely, 2^34341056361 is an apocalyptic number.

It is an amenable number.

34341056361 is a deficient number, since it is larger than the sum of its proper divisors (20800575639).

34341056361 is a wasteful number, since it uses less digits than its factorization.

34341056361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105330 (or 105327 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34341056361 in words is "thirty-four billion, three hundred forty-one million, fifty-six thousand, three hundred sixty-one".