34274227689 has 81 divisors (see below), whose sum is σ = 55320959109. Its totient is φ = 20438683200.

The previous prime is 34274227643. The next prime is 34274227703. The reversal of 34274227689 is 98672247243.

The square root of 34274227689 is 185133.

It is a perfect power (a square), and thus also a powerful number.

34274227689 is a `hidden beast` number, since 342 + 74 + 227 + 6 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1292762025 + 32981465664 = 35955^2 + 181608^2 .

It is not a de Polignac number, because 34274227689 - 2⁹ = 34274227177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34274227189) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 339348739 + ... + 339348839.

Almost surely, 2^34274227689 is an apocalyptic number.

34274227689 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

34274227689 is the 185133-rd square number.

34274227689 is the 92567-th centered octagonal number.

It is an amenable number.

34274227689 is a deficient number, since it is larger than the sum of its proper divisors (21046731420).

34274227689 is a wasteful number, since it uses less digits than its factorization.

34274227689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 34274227689 in words is "thirty-four billion, two hundred seventy-four million, two hundred twenty-seven thousand, six hundred eighty-nine".