34871351608809 has 21 divisors (see below), whose sum is σ = 52283349214669. Its totient is φ = 23247461445660.

The previous prime is 34871351608799. The next prime is 34871351608817. The reversal of 34871351608809 is 90880615317843.

The square root of 34871351608809 is 5905197.

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

34871351608809 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 13 + 5 + 1 + 608 + 8 + 0 + 9 = 666.

It is not a de Polignac number, because 34871351608809 - 2⁵ = 34871351608777 is a prime.

It is a super-2 number, since 2×34871351608809² (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 (34871351608879) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 159330964 + ... + 159549674.

Almost surely, 2^{34871351608809} is an apocalyptic number.

34871351608809 is the 5905197-th square number.

34871351608809 is the 2952599-th centered octagonal number.

It is an amenable number.

34871351608809 is a deficient number, since it is larger than the sum of its proper divisors (17411997605860).

34871351608809 is an frugal number, since it uses more digits than its factorization.

34871351608809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437440 (or 218714 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 34871351608809 in words is "thirty-four trillion, eight hundred seventy-one billion, three hundred fifty-one million, six hundred eight thousand, eight hundred nine".