34960565856 has 96 divisors (see below), whose sum is σ = 93303415296. Its totient is φ = 11459840000.

The previous prime is 34960565813. The next prime is 34960565867. The reversal of 34960565856 is 65856506943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 34960565796 and 34960565805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2726821 + ... + 2739611.

It is an arithmetic number, because the mean of its divisors is an integer number (971910576).

Almost surely, 2^34960565856 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 34960565856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46651707648).

34960565856 is an abundant number, since it is smaller than the sum of its proper divisors (58342849440).

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

34960565856 is a wasteful number, since it uses less digits than its factorization.

34960565856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13276 (or 13268 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 57.

The spelling of 34960565856 in words is "thirty-four billion, nine hundred sixty million, five hundred sixty-five thousand, eight hundred fifty-six".