34430573824 has 72 divisors (see below), whose sum is σ = 72827519688. Its totient is φ = 16189685760.

The previous prime is 34430573803. The next prime is 34430573831. The reversal of 34430573824 is 42837503443.

It can be written as a sum of positive squares in 4 ways, for example, as 5421671424 + 29008902400 = 73632^2 + 170320^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7487494 + ... + 7492090.

It is an arithmetic number, because the mean of its divisors is an integer number (1011493329).

Almost surely, 2^34430573824 is an apocalyptic number.

34430573824 is a gapful number since it is divisible by the number (34) 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 34430573824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36413759844).

34430573824 is an abundant number, since it is smaller than the sum of its proper divisors (38396945864).

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

34430573824 is a wasteful number, since it uses less digits than its factorization.

34430573824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6351 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 43.

The spelling of 34430573824 in words is "thirty-four billion, four hundred thirty million, five hundred seventy-three thousand, eight hundred twenty-four".