34911879168 has 272 divisors, whose sum is σ = 98296958592. Its totient is φ = 11010048000.

The previous prime is 34911879151. The next prime is 34911879263. The reversal of 34911879168 is 86197811943.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491716573 + ... + 491716643.

Almost surely, 2^34911879168 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 34911879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49148479296).

34911879168 is an abundant number, since it is smaller than the sum of its proper divisors (63385079424).

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

34911879168 is an frugal number, since it uses more digits than its factorization.

34911879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 178 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 57.

The spelling of 34911879168 in words is "thirty-four billion, nine hundred eleven million, eight hundred seventy-nine thousand, one hundred sixty-eight".