34395374669049 has 27 divisors (see below), whose sum is σ = 51455225900559. Its totient is φ = 22139223084720.

The previous prime is 34395374669021. The next prime is 34395374669063. The reversal of 34395374669049 is 94096647359343.

It is a happy number.

The square root of 34395374669049 is 5864757.

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

34395374669049 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 5 + 37 + 466 + 90 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18036100153449 + 16359274515600 = 4246893^2 + 4044660^2 .

It is not a de Polignac number, because 34395374669049 - 2³³ = 34386784734457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34395304669049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 510200154 + ... + 510267564.

Almost surely, 2^{34395374669049} is an apocalyptic number.

34395374669049 is the 5864757-th square number.

34395374669049 is the 2932379-th centered octagonal number.

It is an amenable number.

34395374669049 is a deficient number, since it is larger than the sum of its proper divisors (17059851231510).

34395374669049 is an frugal number, since it uses more digits than its factorization.

34395374669049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134886 (or 67443 counting only the distinct ones).

The product of its (nonzero) digits is 1587237120, while the sum is 72.

The spelling of 34395374669049 in words is "thirty-four trillion, three hundred ninety-five billion, three hundred seventy-four million, six hundred sixty-nine thousand, forty-nine".