34691357863969 has 27 divisors (see below), whose sum is σ = 35952759646923. Its totient is φ = 33473689958400.

The previous prime is 34691357863961. The next prime is 34691357864027. The reversal of 34691357863969 is 96936875319643.

The square root of 34691357863969 is 5889937.

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

It can be written as a sum of positive squares in 13 ways, for example, as 34358530408225 + 332827455744 = 5861615^2 + 576912^2 .

It is not a de Polignac number, because 34691357863969 - 2³ = 34691357863961 is a prime.

It is a super-2 number, since 2×34691357863969² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34691357863961) 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, 23424278709 + ... + 23424280189.

Almost surely, 2^{34691357863969} is an apocalyptic number.

34691357863969 is the 5889937-th square number.

34691357863969 is the 2944969-th centered octagonal number.

It is an amenable number.

34691357863969 is a deficient number, since it is larger than the sum of its proper divisors (1261401782954).

34691357863969 is an frugal number, since it uses more digits than its factorization.

34691357863969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 1619 counting only the distinct ones).

The product of its digits is 4761711360, while the sum is 79.

The spelling of 34691357863969 in words is "thirty-four trillion, six hundred ninety-one billion, three hundred fifty-seven million, eight hundred sixty-three thousand, nine hundred sixty-nine".