34228271241 has 12 divisors (see below), whose sum is σ = 49451222340. Its totient is φ = 22814053920.

The previous prime is 34228271219. The next prime is 34228271263. The reversal of 34228271241 is 14217282243.

34228271241 is a `hidden beast` number, since 342 + 2 + 8 + 2 + 71 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (34228271219) and next prime (34228271263).

It can be written as a sum of positive squares in 2 ways, for example, as 4167993600 + 30060277641 = 64560^2 + 173379^2 .

It is not a de Polignac number, because 34228271241 - 2⁷ = 34228271113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34228271196 and 34228271205.

It is not an unprimeable number, because it can be changed into a prime (34228271041) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 353970 + ... + 440171.

It is an arithmetic number, because the mean of its divisors is an integer number (4120935195).

Almost surely, 2^34228271241 is an apocalyptic number.

It is an amenable number.

34228271241 is a deficient number, since it is larger than the sum of its proper divisors (15222951099).

34228271241 is a wasteful number, since it uses less digits than its factorization.

34228271241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798936 (or 798933 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 34228271241 in words is "thirty-four billion, two hundred twenty-eight million, two hundred seventy-one thousand, two hundred forty-one".