34665276336768 has 640 divisors, whose sum is σ = 129149199843840. Its totient is φ = 9003917491200.

The previous prime is 34665276336763. The next prime is 34665276336787. The reversal of 34665276336768 is 86763367256643.

34665276336768 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 527 + 6 + 3 + 36 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34665276336696 and 34665276336705.

It is not an unprimeable number, because it can be changed into a prime (34665276336763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 193906303 + ... + 194084993.

It is an arithmetic number, because the mean of its divisors is an integer number (201795624756).

Almost surely, 2^{34665276336768} 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 34665276336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64574599921920).

34665276336768 is an abundant number, since it is smaller than the sum of its proper divisors (94483923507072).

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

34665276336768 is an frugal number, since it uses more digits than its factorization.

34665276336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178750 (or 178714 counting only the distinct ones).

The product of its digits is 3292047360, while the sum is 72.

The spelling of 34665276336768 in words is "thirty-four trillion, six hundred sixty-five billion, two hundred seventy-six million, three hundred thirty-six thousand, seven hundred sixty-eight".