34965586264 has 64 divisors (see below), whose sum is σ = 79492492800. Its totient is φ = 14075533824.

The previous prime is 34965586199. The next prime is 34965586283. The reversal of 34965586264 is 46268556943.

It is a junction number, because it is equal to n+sod(n) for n = 34965586199 and 34965586208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442347 + ... + 515365.

It is an arithmetic number, because the mean of its divisors is an integer number (1242070200).

Almost surely, 2^34965586264 is an apocalyptic number.

34965586264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34965586264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39746246400).

34965586264 is an abundant number, since it is smaller than the sum of its proper divisors (44526906536).

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

34965586264 is a wasteful number, since it uses less digits than its factorization.

34965586264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73552 (or 73548 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 58.

The spelling of 34965586264 in words is "thirty-four billion, nine hundred sixty-five million, five hundred eighty-six thousand, two hundred sixty-four".