34044470208 has 224 divisors, whose sum is σ = 114708838400. Its totient is φ = 9699222528.

The previous prime is 34044470203. The next prime is 34044470231. The reversal of 34044470208 is 80207444043.

It is a happy number.

34044470208 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 447 + 0 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34044470203) 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, 4435398 + ... + 4443066.

Almost surely, 2^34044470208 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 34044470208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57354419200).

34044470208 is an abundant number, since it is smaller than the sum of its proper divisors (80664368192).

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

34044470208 is a wasteful number, since it uses less digits than its factorization.

34044470208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8048 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 34044470208 in words is "thirty-four billion, forty-four million, four hundred seventy thousand, two hundred eight".