34525715328 has 384 divisors, whose sum is σ = 114369091200. Its totient is φ = 9908490240.

The previous prime is 34525715321. The next prime is 34525715339. The reversal of 34525715328 is 82351752543.

34525715328 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 571 + 53 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34525715321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19063543 + ... + 19065353.

It is an arithmetic number, because the mean of its divisors is an integer number (297836175).

Almost surely, 2^34525715328 is an apocalyptic number.

34525715328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34525715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57184545600).

34525715328 is an abundant number, since it is smaller than the sum of its proper divisors (79843375872).

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

34525715328 is a wasteful number, since it uses less digits than its factorization.

34525715328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1915 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 34525715328 in words is "thirty-four billion, five hundred twenty-five million, seven hundred fifteen thousand, three hundred twenty-eight".