34589442675841 has 9 divisors (see below), whose sum is σ = 36505873224963. Its totient is φ = 32768839829880.

The previous prime is 34589442675829. The next prime is 34589442675847. The reversal of 34589442675841 is 14857624498543.

The square root of 34589442675841 is 5881279.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11762643168241 + 22826799507600 = 3429671^2 + 4777740^2 .

It is not a de Polignac number, because 34589442675841 - 2³³ = 34580852741249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34589442675847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111589531 + ... + 111899071.

It is an arithmetic number, because the mean of its divisors is an integer number (4056208136107).

Almost surely, 2^{34589442675841} is an apocalyptic number.

34589442675841 is the 5881279-th square number.

34589442675841 is the 2940640-th centered octagonal number.

It is an amenable number.

34589442675841 is a deficient number, since it is larger than the sum of its proper divisors (1916430549122).

34589442675841 is an frugal number, since it uses more digits than its factorization.

34589442675841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619120 (or 309560 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 70.

The spelling of 34589442675841 in words is "thirty-four trillion, five hundred eighty-nine billion, four hundred forty-two million, six hundred seventy-five thousand, eight hundred forty-one".