34000288641 has 72 divisors (see below), whose sum is σ = 56147739648. Its totient is φ = 19795406400.

The previous prime is 34000288631. The next prime is 34000288669. The reversal of 34000288641 is 14688200043.

34000288641 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 0 + 2 + 8 + 8 + 641 = 666.

It is not a de Polignac number, because 34000288641 - 2¹⁰ = 34000287617 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34000288596 and 34000288605.

It is not an unprimeable number, because it can be changed into a prime (34000288601) by changing a digit.

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, 2850496 + ... + 2862398.

Almost surely, 2^34000288641 is an apocalyptic number.

It is an amenable number.

34000288641 is a deficient number, since it is larger than the sum of its proper divisors (22147451007).

34000288641 is a wasteful number, since it uses less digits than its factorization.

34000288641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12035 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 34000288641 its reverse (14688200043), we get a palindrome (48688488684).

The spelling of 34000288641 in words is "thirty-four billion, two hundred eighty-eight thousand, six hundred forty-one".