34304911872 has 320 divisors, whose sum is σ = 115256908800. Its totient is φ = 8807546880.

The previous prime is 34304911867. The next prime is 34304911873. The reversal of 34304911872 is 27811940343.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (34304911873) 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 31 ways as a sum of consecutive naturals, for example, 10524579 + ... + 10527837.

It is an arithmetic number, because the mean of its divisors is an integer number (360177840).

Almost surely, 2^34304911872 is an apocalyptic number.

34304911872 is a gapful number since it is divisible by the number (32) 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 34304911872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57628454400).

34304911872 is an abundant number, since it is smaller than the sum of its proper divisors (80951996928).

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

34304911872 is a wasteful number, since it uses less digits than its factorization.

34304911872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 34304911872 in words is "thirty-four billion, three hundred four million, nine hundred eleven thousand, eight hundred seventy-two".