34304987808 has 720 divisors, whose sum is σ = 128476212480. Its totient is φ = 8898978816.

The previous prime is 34304987753. The next prime is 34304987839. The reversal of 34304987808 is 80878940343.

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

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 119 ways as a sum of consecutive naturals, for example, 130437085 + ... + 130437347.

It is an arithmetic number, because the mean of its divisors is an integer number (178439184).

Almost surely, 2^34304987808 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 34304987808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64238106240).

34304987808 is an abundant number, since it is smaller than the sum of its proper divisors (94171224672).

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

34304987808 is a wasteful number, since it uses less digits than its factorization.

34304987808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 34304987808 in words is "thirty-four billion, three hundred four million, nine hundred eighty-seven thousand, eight hundred eight".