34305368064 has 224 divisors, whose sum is σ = 100764100224. Its totient is φ = 10294394880.

The previous prime is 34305368047. The next prime is 34305368099. The reversal of 34305368064 is 46086350343.

It is a super-2 number, since 2×34305368064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30547407 + ... + 30548529.

Almost surely, 2^34305368064 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 34305368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50382050112).

34305368064 is an abundant number, since it is smaller than the sum of its proper divisors (66458732160).

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

34305368064 is a wasteful number, since it uses less digits than its factorization.

34305368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 34305368064 in words is "thirty-four billion, three hundred five million, three hundred sixty-eight thousand, sixty-four".