34425828864 has 480 divisors, whose sum is σ = 121031539200. Its totient is φ = 9398366208.

The previous prime is 34425828839. The next prime is 34425828893. The reversal of 34425828864 is 46882852443.

34425828864 is a `hidden beast` number, since 3 + 4 + 425 + 82 + 88 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34425828864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36352039 + ... + 36352985.

It is an arithmetic number, because the mean of its divisors is an integer number (252149040).

Almost surely, 2^34425828864 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 34425828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60515769600).

34425828864 is an abundant number, since it is smaller than the sum of its proper divisors (86605710336).

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

34425828864 is an equidigital number, since it uses as much as digits as its factorization.

34425828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 982 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 34425828864 in words is "thirty-four billion, four hundred twenty-five million, eight hundred twenty-eight thousand, eight hundred sixty-four".