34218340324 has 81 divisors (see below), whose sum is σ = 71018420571. Its totient is φ = 14384200320.

The previous prime is 34218340313. The next prime is 34218340337. The reversal of 34218340324 is 42304381243.

The square root of 34218340324 is 184982.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11306068900 + 22912271424 = 106330^2 + 151368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34218340324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 189051514 + ... + 189051694.

Almost surely, 2^34218340324 is an apocalyptic number.

34218340324 is the 184982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34218340324

34218340324 is an abundant number, since it is smaller than the sum of its proper divisors (36800080247).

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

34218340324 is an equidigital number, since it uses as much as digits as its factorization.

34218340324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 34218340324 in words is "thirty-four billion, two hundred eighteen million, three hundred forty thousand, three hundred twenty-four".