34305784128 has 336 divisors, whose sum is σ = 124159426560. Its totient is φ = 8796902400.

The previous prime is 34305784127. The next prime is 34305784141. The reversal of 34305784128 is 82148750343.

34305784128 is a `hidden beast` number, since 3 + 4 + 30 + 578 + 41 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34305784127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3498913 + ... + 3508703.

Almost surely, 2^34305784128 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 34305784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62079713280).

34305784128 is an abundant number, since it is smaller than the sum of its proper divisors (89853642432).

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

34305784128 is a wasteful number, since it uses less digits than its factorization.

34305784128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9906 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 34305784128 in words is "thirty-four billion, three hundred five million, seven hundred eighty-four thousand, one hundred twenty-eight".