10034447808 has 448 divisors, whose sum is σ = 35230003200. Its totient is φ = 2441871360.

The previous prime is 10034447791. The next prime is 10034447809. The reversal of 10034447808 is 80874443001.

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

It is a super-2 number, since 2×10034447808² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034447809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39044416 + ... + 39044672.

It is an arithmetic number, because the mean of its divisors is an integer number (78638400).

Almost surely, 2^10034447808 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 10034447808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17615001600).

10034447808 is an abundant number, since it is smaller than the sum of its proper divisors (25195555392).

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

10034447808 is a wasteful number, since it uses less digits than its factorization.

10034447808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 10034447808 in words is "ten billion, thirty-four million, four hundred forty-seven thousand, eight hundred eight".