34418564760 has 128 divisors (see below), whose sum is σ = 106551878400. Its totient is φ = 8887656960.

The previous prime is 34418564759. The next prime is 34418564821. The reversal of 34418564760 is 6746581443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918471 + ... + 955209.

It is an arithmetic number, because the mean of its divisors is an integer number (832436550).

Almost surely, 2^34418564760 is an apocalyptic number.

34418564760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34418564760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53275939200).

34418564760 is an abundant number, since it is smaller than the sum of its proper divisors (72133313640).

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

34418564760 is a wasteful number, since it uses less digits than its factorization.

34418564760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37001 (or 36997 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 34418564760 in words is "thirty-four billion, four hundred eighteen million, five hundred sixty-four thousand, seven hundred sixty".