34440010368 has 64 divisors (see below), whose sum is σ = 92201733120. Its totient is φ = 11389593600.

The previous prime is 34440010247. The next prime is 34440010403. The reversal of 34440010368 is 86301004443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34440010368² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304333 + ... + 401868.

It is an arithmetic number, because the mean of its divisors is an integer number (1440652080).

Almost surely, 2^34440010368 is an apocalyptic number.

It is an amenable number.

34440010368 is an abundant number, since it is smaller than the sum of its proper divisors (57761722752).

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

34440010368 is a wasteful number, since it uses less digits than its factorization.

34440010368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706345 (or 706333 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 34440010368 in words is "thirty-four billion, four hundred forty million, ten thousand, three hundred sixty-eight".