34916987968 has 56 divisors (see below), whose sum is σ = 70954188800. Its totient is φ = 17039393280.

The previous prime is 34916987899. The next prime is 34916987993. The reversal of 34916987968 is 86978961943.

It is a junction number, because it is equal to n+sod(n) for n = 34916987897 and 34916987906.

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 7 ways as a sum of consecutive naturals, for example, 4258753 + ... + 4266943.

Almost surely, 2^34916987968 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 34916987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35477094400).

34916987968 is an abundant number, since it is smaller than the sum of its proper divisors (36037200832).

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

34916987968 is a wasteful number, since it uses less digits than its factorization.

34916987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9795 (or 9785 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 70.

The spelling of 34916987968 in words is "thirty-four billion, nine hundred sixteen million, nine hundred eighty-seven thousand, nine hundred sixty-eight".