34709053490721 has 9 divisors (see below), whose sum is σ = 50135325016179. Its totient is φ = 23139357210936.

The previous prime is 34709053490711. The next prime is 34709053490723. The reversal of 34709053490721 is 12709435090743.

The square root of 34709053490721 is 5891439.

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

34709053490721 is a `hidden beast` number, since 3 + 47 + 0 + 90 + 5 + 3 + 490 + 7 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34047049950225 + 662003540496 = 5834985^2 + 813636^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 34709053490721 - 2⁷ = 34709053490593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34709053490723) 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, 16692411 + ... + 18656223.

Almost surely, 2^{34709053490721} is an apocalyptic number.

34709053490721 is the 5891439-th square number.

34709053490721 is the 2945720-th centered octagonal number.

It is an amenable number.

34709053490721 is a deficient number, since it is larger than the sum of its proper divisors (15426271525458).

34709053490721 is an frugal number, since it uses more digits than its factorization.

34709053490721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927632 (or 1963816 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 34709053490721 in words is "thirty-four trillion, seven hundred nine billion, fifty-three million, four hundred ninety thousand, seven hundred twenty-one".