34965522336 has 96 divisors (see below), whose sum is σ = 92480790528. Its totient is φ = 11567082240.

The previous prime is 34965522311. The next prime is 34965522353. The reversal of 34965522336 is 63322556943.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7755795 + ... + 7760301.

It is an arithmetic number, because the mean of its divisors is an integer number (963341568).

Almost surely, 2^34965522336 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 34965522336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46240395264).

34965522336 is an abundant number, since it is smaller than the sum of its proper divisors (57515268192).

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

34965522336 is a wasteful number, since it uses less digits than its factorization.

34965522336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114 (or 5106 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 48.

The spelling of 34965522336 in words is "thirty-four billion, nine hundred sixty-five million, five hundred twenty-two thousand, three hundred thirty-six".