34312065675264 has 416 divisors, whose sum is σ = 109763017145600. Its totient is φ = 10529535098880.

The previous prime is 34312065675247. The next prime is 34312065675287. The reversal of 34312065675264 is 46257656021343.

34312065675264 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 20 + 6 + 567 + 52 + 6 + 4 = 666.

34312065675264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34312065675264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544855299 + ... + 544918269.

It is an arithmetic number, because the mean of its divisors is an integer number (263853406600).

Almost surely, 2^{34312065675264} 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 34312065675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54881508572800).

34312065675264 is an abundant number, since it is smaller than the sum of its proper divisors (75450951470336).

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

34312065675264 is a wasteful number, since it uses less digits than its factorization.

34312065675264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63396 (or 63368 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 34312065675264 in words is "thirty-four trillion, three hundred twelve billion, sixty-five million, six hundred seventy-five thousand, two hundred sixty-four".