34628516271 has 24 divisors (see below), whose sum is σ = 50677985280. Its totient is φ = 22781815056.

The previous prime is 34628516269. The next prime is 34628516281. The reversal of 34628516271 is 17261582643.

34628516271 is a `hidden beast` number, since 3 + 4 + 62 + 8 + 516 + 2 + 71 = 666.

It is not a de Polignac number, because 34628516271 - 2¹ = 34628516269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34628516281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1512310 + ... + 1535036.

It is an arithmetic number, because the mean of its divisors is an integer number (2111582720).

Almost surely, 2^34628516271 is an apocalyptic number.

34628516271 is a deficient number, since it is larger than the sum of its proper divisors (16049469009).

34628516271 is a wasteful number, since it uses less digits than its factorization.

34628516271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24955 (or 24952 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 34628516271 in words is "thirty-four billion, six hundred twenty-eight million, five hundred sixteen thousand, two hundred seventy-one".