34208433673344 has 576 divisors, whose sum is σ = 116007040258200. Its totient is φ = 9646453555200.

The previous prime is 34208433673339. The next prime is 34208433673363. The reversal of 34208433673344 is 44337633480243.

It is a happy number.

34208433673344 is a `hidden beast` number, since 3 + 4 + 208 + 4 + 3 + 367 + 33 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32963673960000 + 1244759713344 = 5741400^2 + 1115688^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×34208433673344² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2898768244 + ... + 2898780044.

Almost surely, 2^{34208433673344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34208433673344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58003520129100).

34208433673344 is an abundant number, since it is smaller than the sum of its proper divisors (81798606584856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34208433673344 is a wasteful number, since it uses less digits than its factorization.

34208433673344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 54.

The spelling of 34208433673344 in words is "thirty-four trillion, two hundred eight billion, four hundred thirty-three million, six hundred seventy-three thousand, three hundred forty-four".