34316085618 has 60 divisors (see below), whose sum is σ = 78803570538. Its totient is φ = 11154792960.

The previous prime is 34316085569. The next prime is 34316085653. The reversal of 34316085618 is 81658061343.

34316085618 is a `hidden beast` number, since 3 + 4 + 31 + 608 + 5 + 6 + 1 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 32584943169 + 1731142449 = 180513^2 + 41607^2 .

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 29 ways as a sum of consecutive naturals, for example, 15096130 + ... + 15098402.

Almost surely, 2^34316085618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34316085618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39401785269).

34316085618 is an abundant number, since it is smaller than the sum of its proper divisors (44487484920).

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

34316085618 is an frugal number, since it uses more digits than its factorization.

34316085618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 34316085618 in words is "thirty-four billion, three hundred sixteen million, eighty-five thousand, six hundred eighteen".