34033813814 has 64 divisors (see below), whose sum is σ = 69667540992. Its totient is φ = 12039235200.

The previous prime is 34033813811. The next prime is 34033813817. The reversal of 34033813814 is 41831833043.

It is an interprime number because it is at equal distance from previous prime (34033813811) and next prime (34033813817).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033813811) 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 31 ways as a sum of consecutive naturals, for example, 17222 + ... + 261465.

It is an arithmetic number, because the mean of its divisors is an integer number (1088555328).

Almost surely, 2^34033813814 is an apocalyptic number.

34033813814 is an abundant number, since it is smaller than the sum of its proper divisors (35633727178).

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

34033813814 is a wasteful number, since it uses less digits than its factorization.

34033813814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278781.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 34033813814 in words is "thirty-four billion, thirty-three million, eight hundred thirteen thousand, eight hundred fourteen".