34936879488 has 128 divisors (see below), whose sum is σ = 106120800000. Its totient is φ = 9976092672.

The previous prime is 34936879459. The next prime is 34936879501. The reversal of 34936879488 is 88497863943.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 6849163 + ... + 6854261.

It is an arithmetic number, because the mean of its divisors is an integer number (829068750).

Almost surely, 2^34936879488 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 34936879488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53060400000).

34936879488 is an abundant number, since it is smaller than the sum of its proper divisors (71183920512).

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

34936879488 is a wasteful number, since it uses less digits than its factorization.

34936879488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7672 (or 7660 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 69.

The spelling of 34936879488 in words is "thirty-four billion, nine hundred thirty-six million, eight hundred seventy-nine thousand, four hundred eighty-eight".