34326384768 has 640 divisors, whose sum is σ = 118684621440. Its totient is φ = 9754214400.

The previous prime is 34326384739. The next prime is 34326384797. The reversal of 34326384768 is 86748362343.

34326384768 is a `hidden beast` number, since 3 + 432 + 63 + 84 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34326384739) and next prime (34326384797).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 162684183 + ... + 162684393.

It is an arithmetic number, because the mean of its divisors is an integer number (185444721).

Almost surely, 2^34326384768 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 34326384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59342310720).

34326384768 is an abundant number, since it is smaller than the sum of its proper divisors (84358236672).

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

34326384768 is a wasteful number, since it uses less digits than its factorization.

34326384768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 317 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 34326384768 in words is "thirty-four billion, three hundred twenty-six million, three hundred eighty-four thousand, seven hundred sixty-eight".