34258318848 has 480 divisors, whose sum is σ = 112605292800. Its totient is φ = 10333495296.

The previous prime is 34258318817. The next prime is 34258318867. The reversal of 34258318848 is 84881385243.

34258318848 is a `hidden beast` number, since 3 + 4 + 2 + 583 + 18 + 8 + 48 = 666.

It is a super-3 number, since 3×34258318848³ (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34258318794 and 34258318803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95426893 + ... + 95427251.

It is an arithmetic number, because the mean of its divisors is an integer number (234594360).

Almost surely, 2^34258318848 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 34258318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56302646400).

34258318848 is an abundant number, since it is smaller than the sum of its proper divisors (78346973952).

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

34258318848 is an equidigital number, since it uses as much as digits as its factorization.

34258318848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 436 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 34258318848 in words is "thirty-four billion, two hundred fifty-eight million, three hundred eighteen thousand, eight hundred forty-eight".