34433334816 has 48 divisors (see below), whose sum is σ = 93303237888. Its totient is φ = 11107526400.

The previous prime is 34433334781. The next prime is 34433334833. The reversal of 34433334816 is 61843333443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5782195 + ... + 5788146.

It is an arithmetic number, because the mean of its divisors is an integer number (1943817456).

Almost surely, 2^34433334816 is an apocalyptic number.

It is an amenable number.

34433334816 is an abundant number, since it is smaller than the sum of its proper divisors (58869903072).

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

34433334816 is a wasteful number, since it uses less digits than its factorization.

34433334816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11570385 (or 11570377 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 34433334816 in words is "thirty-four billion, four hundred thirty-three million, three hundred thirty-four thousand, eight hundred sixteen".