34106600628 has 36 divisors (see below), whose sum is σ = 88316689188. Its totient is φ = 11091576960.

The previous prime is 34106600609. The next prime is 34106600641. The reversal of 34106600628 is 82600660143.

34106600628 is a `hidden beast` number, since 3 + 41 + 0 + 6 + 600 + 6 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4001574564 + 30105026064 = 63258^2 + 173508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 34106600592 and 34106600601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11552251 + ... + 11555202.

Almost surely, 2^34106600628 is an apocalyptic number.

It is an amenable number.

34106600628 is an abundant number, since it is smaller than the sum of its proper divisors (54210088560).

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

34106600628 is a wasteful number, since it uses less digits than its factorization.

34106600628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23107504 (or 23107499 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 34106600628 in words is "thirty-four billion, one hundred six million, six hundred thousand, six hundred twenty-eight".