34430010400 has 72 divisors (see below), whose sum is σ = 85430289924. Its totient is φ = 13546214400.

The previous prime is 34430010331. The next prime is 34430010403. The reversal of 34430010400 is 401003443.

It can be written as a sum of positive squares in 6 ways, for example, as 173923344 + 34256087056 = 13188^2 + 185084^2 .

It is a super-2 number, since 2×34430010400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34430010403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303967 + ... + 401566.

Almost surely, 2^34430010400 is an apocalyptic number.

It is an amenable number.

34430010400 is an abundant number, since it is smaller than the sum of its proper divisors (51000279524).

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

34430010400 is a wasteful number, since it uses less digits than its factorization.

34430010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705614 (or 705601 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 34430010400 its reverse (401003443), we get a palindrome (34831013843).

The spelling of 34430010400 in words is "thirty-four billion, four hundred thirty million, ten thousand, four hundred".