34716558408 has 160 divisors (see below), whose sum is σ = 102310894560. Its totient is φ = 9815178240.

The previous prime is 34716558403. The next prime is 34716558479. The reversal of 34716558408 is 80485561743.

It is not an unprimeable number, because it can be changed into a prime (34716558403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5586423 + ... + 5592633.

It is an arithmetic number, because the mean of its divisors is an integer number (639443091).

Almost surely, 2^34716558408 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 34716558408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51155447280).

34716558408 is an abundant number, since it is smaller than the sum of its proper divisors (67594336152).

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

34716558408 is an equidigital number, since it uses as much as digits as its factorization.

34716558408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 34716558408 in words is "thirty-four billion, seven hundred sixteen million, five hundred fifty-eight thousand, four hundred eight".