34041634025 has 18 divisors (see below), whose sum is σ = 49103322030. Its totient is φ = 23342833920.

The previous prime is 34041634019. The next prime is 34041634111. The reversal of 34041634025 is 52043614043.

It can be written as a sum of positive squares in 3 ways, for example, as 5544142681 + 28497491344 = 74459^2 + 168812^2 .

It is not a de Polignac number, because 34041634025 - 2⁴ = 34041634009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34041633982 and 34041634000.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 13893320 + ... + 13895769.

It is an arithmetic number, because the mean of its divisors is an integer number (2727962335).

Almost surely, 2^34041634025 is an apocalyptic number.

34041634025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34041634025 is a deficient number, since it is larger than the sum of its proper divisors (15061688005).

34041634025 is a wasteful number, since it uses less digits than its factorization.

34041634025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27789113 (or 27789101 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 34041634025 in words is "thirty-four billion, forty-one million, six hundred thirty-four thousand, twenty-five".