34011667368 has 320 divisors, whose sum is σ = 110615218560. Its totient is φ = 9563733504.

The previous prime is 34011667367. The next prime is 34011667379. The reversal of 34011667368 is 86376611043.

It is not an unprimeable number, because it can be changed into a prime (34011667363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 116080630 + ... + 116080922.

It is an arithmetic number, because the mean of its divisors is an integer number (345672558).

Almost surely, 2^34011667368 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 34011667368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55307609280).

34011667368 is an abundant number, since it is smaller than the sum of its proper divisors (76603551192).

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

34011667368 is a wasteful number, since it uses less digits than its factorization.

34011667368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34011667368 in words is "thirty-four billion, eleven million, six hundred sixty-seven thousand, three hundred sixty-eight".