34093190208 has 448 divisors, whose sum is σ = 120847104000. Its totient is φ = 8385914880.

The previous prime is 34093190207. The next prime is 34093190231. The reversal of 34093190208 is 80209139043.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (34093190207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13762666 + ... + 13765142.

It is an arithmetic number, because the mean of its divisors is an integer number (269748000).

Almost surely, 2^34093190208 is an apocalyptic number.

34093190208 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34093190208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60423552000).

34093190208 is an abundant number, since it is smaller than the sum of its proper divisors (86753913792).

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

34093190208 is a wasteful number, since it uses less digits than its factorization.

34093190208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 34093190208 in words is "thirty-four billion, ninety-three million, one hundred ninety thousand, two hundred eight".