34101228168 has 108 divisors (see below), whose sum is σ = 107470834965. Its totient is φ = 9740074176.

The previous prime is 34101228137. The next prime is 34101228197. The reversal of 34101228168 is 86182210143.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34101228168 is a `hidden beast` number, since 3 + 410 + 1 + 228 + 16 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30073802724 + 4027425444 = 173418^2 + 63462^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=130578.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10966998 + ... + 10970106.

Almost surely, 2^34101228168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34101228168

34101228168 is an abundant number, since it is smaller than the sum of its proper divisors (73369606797).

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

34101228168 is an equidigital number, since it uses as much as digits as its factorization.

34101228168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 34101228168 by its product of nonzero digits (18432), we get a square (628553837592576 = 25070976²).

The spelling of 34101228168 in words is "thirty-four billion, one hundred one million, two hundred twenty-eight thousand, one hundred sixty-eight".