34227655506 has 72 divisors (see below), whose sum is σ = 83503002492. Its totient is φ = 10119014400.

The previous prime is 34227655499. The next prime is 34227655519. The reversal of 34227655506 is 60555672243.

34227655506 is a `hidden beast` number, since 3 + 4 + 22 + 76 + 5 + 550 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31344932025 + 2882723481 = 177045^2 + 53691^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102351 + ... + 280946.

Almost surely, 2^34227655506 is an apocalyptic number.

34227655506 is an abundant number, since it is smaller than the sum of its proper divisors (49275346986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34227655506 is a wasteful number, since it uses less digits than its factorization.

34227655506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383368 (or 383354 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

It can be divided in two parts, 3422765 and 5506, that added together give a triangular number (3428271 = T₂₆₁₈).

The spelling of 34227655506 in words is "thirty-four billion, two hundred twenty-seven million, six hundred fifty-five thousand, five hundred six".