34096221604809 has 243 divisors, whose sum is σ = 63113789584287. Its totient is φ = 17677911992832.

The previous prime is 34096221604771. The next prime is 34096221604843. The reversal of 34096221604809 is 90840612269043.

The square root of 34096221604809 is 5839197.

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

34096221604809 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 6 + 2 + 21 + 604 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 9527624289225 + 24568597315584 = 3086685^2 + 4956672^2 .

It is not a de Polignac number, because 34096221604809 - 2¹⁷ = 34096221473737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34096221604849) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 116369356867 + ... + 116369357159.

Almost surely, 2^{34096221604809} is an apocalyptic number.

34096221604809 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

34096221604809 is the 5839197-th square number.

34096221604809 is the 2919599-th centered octagonal number.

It is an amenable number.

34096221604809 is a deficient number, since it is larger than the sum of its proper divisors (29017567979478).

34096221604809 is an equidigital number, since it uses as much as digits as its factorization.

34096221604809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 34096221604809 in words is "thirty-four trillion, ninety-six billion, two hundred twenty-one million, six hundred four thousand, eight hundred nine".