34897035264 has 512 divisors, whose sum is σ = 118378229760. Its totient is φ = 8899264512.

The previous prime is 34897035259. The next prime is 34897035287. The reversal of 34897035264 is 46253079843.

It is a tau number, because it is divible by the number of its divisors (512).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420446167 + ... + 420446249.

It is an arithmetic number, because the mean of its divisors is an integer number (231207480).

Almost surely, 2^34897035264 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 34897035264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59189114880).

34897035264 is an abundant number, since it is smaller than the sum of its proper divisors (83481194496).

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

34897035264 is an equidigital number, since it uses as much as digits as its factorization.

34897035264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 34897035264 in words is "thirty-four billion, eight hundred ninety-seven million, thirty-five thousand, two hundred sixty-four".