34095408641 has 32 divisors (see below), whose sum is σ = 42176090880. Its totient is φ = 26897135616.

The previous prime is 34095408569. The next prime is 34095408643. The reversal of 34095408641 is 14680459043.

It is not a de Polignac number, because 34095408641 - 2³⁴ = 16915539457 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34095408592 and 34095408601.

It is not an unprimeable number, because it can be changed into a prime (34095408643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1927445 + ... + 1945053.

It is an arithmetic number, because the mean of its divisors is an integer number (1318002840).

Almost surely, 2^34095408641 is an apocalyptic number.

It is an amenable number.

34095408641 is a deficient number, since it is larger than the sum of its proper divisors (8080682239).

34095408641 is a wasteful number, since it uses less digits than its factorization.

34095408641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17993.

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 34095408641 in words is "thirty-four billion, ninety-five million, four hundred eight thousand, six hundred forty-one".