34400434025 has 6 divisors (see below), whose sum is σ = 42656538222. Its totient is φ = 27520347200.

The previous prime is 34400434009. The next prime is 34400434039. The reversal of 34400434025 is 52043400443.

It can be written as a sum of positive squares in 3 ways, for example, as 9083805481 + 25316628544 = 95309^2 + 159112^2 .

It is not a de Polignac number, because 34400434025 - 2⁴ = 34400434009 is a prime.

It is a super-2 number, since 2×34400434025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 688008656 + ... + 688008705.

It is an arithmetic number, because the mean of its divisors is an integer number (7109423037).

Almost surely, 2^34400434025 is an apocalyptic number.

It is an amenable number.

34400434025 is a deficient number, since it is larger than the sum of its proper divisors (8256104197).

34400434025 is a wasteful number, since it uses less digits than its factorization.

34400434025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376017371 (or 1376017366 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 29.

Adding to 34400434025 its reverse (52043400443), we get a palindrome (86443834468).

The spelling of 34400434025 in words is "thirty-four billion, four hundred million, four hundred thirty-four thousand, twenty-five".