34250096961 has 6 divisors (see below), whose sum is σ = 49472362290. Its totient is φ = 22833397968.

The previous prime is 34250096953. The next prime is 34250096999. The reversal of 34250096961 is 16969005243.

It can be written as a sum of positive squares in only one way, i.e., 34018113600 + 231983361 = 184440^2 + 15231^2 .

It is not a de Polignac number, because 34250096961 - 2³ = 34250096953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34250096941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1902783156 + ... + 1902783173.

It is an arithmetic number, because the mean of its divisors is an integer number (8245393715).

Almost surely, 2^34250096961 is an apocalyptic number.

It is an amenable number.

34250096961 is a deficient number, since it is larger than the sum of its proper divisors (15222265329).

34250096961 is a wasteful number, since it uses less digits than its factorization.

34250096961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805566335 (or 3805566332 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 34250096961 in words is "thirty-four billion, two hundred fifty million, ninety-six thousand, nine hundred sixty-one".