34345334304 has 144 divisors (see below), whose sum is σ = 98942407200. Its totient is φ = 11300226048.

The previous prime is 34345334299. The next prime is 34345334333. The reversal of 34345334304 is 40343354343.

34345334304 is a `hidden beast` number, since 3 + 4 + 345 + 3 + 3 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7163332 + ... + 7168124.

It is an arithmetic number, because the mean of its divisors is an integer number (687100050).

Almost surely, 2^34345334304 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 34345334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49471203600).

34345334304 is an abundant number, since it is smaller than the sum of its proper divisors (64597072896).

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

34345334304 is a wasteful number, since it uses less digits than its factorization.

34345334304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 36.

Adding to 34345334304 its reverse (40343354343), we get a palindrome (74688688647).

The spelling of 34345334304 in words is "thirty-four billion, three hundred forty-five million, three hundred thirty-four thousand, three hundred four".