34329315328 has 288 divisors, whose sum is σ = 88130034720. Its totient is φ = 13218938880.

The previous prime is 34329315287. The next prime is 34329315379. The reversal of 34329315328 is 82351392343.

Its product of digits (466560) is a multiple of the sum of its prime divisors (384).

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, 151230351 + ... + 151230577.

It is an arithmetic number, because the mean of its divisors is an integer number (306007065).

Almost surely, 2^34329315328 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 34329315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44065017360).

34329315328 is an abundant number, since it is smaller than the sum of its proper divisors (53800719392).

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

34329315328 is a wasteful number, since it uses less digits than its factorization.

34329315328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

The spelling of 34329315328 in words is "thirty-four billion, three hundred twenty-nine million, three hundred fifteen thousand, three hundred twenty-eight".