34075900341 has 64 divisors (see below), whose sum is σ = 60805785600. Its totient is φ = 18424454400.

The previous prime is 34075900301. The next prime is 34075900373. The reversal of 34075900341 is 14300957043.

34075900341 is a `hidden beast` number, since 34 + 0 + 7 + 590 + 0 + 34 + 1 = 666.

It is not a de Polignac number, because 34075900341 - 2⁷ = 34075900213 is a prime.

It is a super-2 number, since 2×34075900341² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34075900296 and 34075900305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34075900301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3158286 + ... + 3169056.

It is an arithmetic number, because the mean of its divisors is an integer number (950090400).

Almost surely, 2^34075900341 is an apocalyptic number.

It is an amenable number.

34075900341 is a deficient number, since it is larger than the sum of its proper divisors (26729885259).

34075900341 is a wasteful number, since it uses less digits than its factorization.

34075900341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687 (or 11681 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 34075900341 in words is "thirty-four billion, seventy-five million, nine hundred thousand, three hundred forty-one".