34528990608 has 320 divisors, whose sum is σ = 114903360000. Its totient is φ = 9724409856.

The previous prime is 34528990579. The next prime is 34528990633. The reversal of 34528990608 is 80609982543.

34528990608 is a `hidden beast` number, since 3 + 4 + 5 + 28 + 9 + 9 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88763278 + ... + 88763666.

It is an arithmetic number, because the mean of its divisors is an integer number (359073000).

Almost surely, 2^34528990608 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 34528990608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680000).

34528990608 is an abundant number, since it is smaller than the sum of its proper divisors (80374369392).

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

34528990608 is a wasteful number, since it uses less digits than its factorization.

34528990608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 34528990608 in words is "thirty-four billion, five hundred twenty-eight million, nine hundred ninety thousand, six hundred eight".