34965306216 has 24 divisors (see below), whose sum is σ = 94697704530. Its totient is φ = 11655102048.

The previous prime is 34965306199. The next prime is 34965306247. The reversal of 34965306216 is 61260356943.

34965306216 is a `hidden beast` number, since 3 + 4 + 96 + 530 + 6 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32627196900 + 2338109316 = 180630^2 + 48354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 242814555 + ... + 242814698.

Almost surely, 2^34965306216 is an apocalyptic number.

34965306216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34965306216 is an abundant number, since it is smaller than the sum of its proper divisors (59732398314).

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

34965306216 is a wasteful number, since it uses less digits than its factorization.

34965306216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485629265 (or 485629258 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 34965306216 in words is "thirty-four billion, nine hundred sixty-five million, three hundred six thousand, two hundred sixteen".