34058994606 has 192 divisors, whose sum is σ = 94127953920. Its totient is φ = 8661219840.

The previous prime is 34058994587. The next prime is 34058994631. The reversal of 34058994606 is 60649985043.

34058994606 is a `hidden beast` number, since 3 + 40 + 58 + 99 + 460 + 6 = 666.

It is a super-2 number, since 2×34058994606² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5561226 + ... + 5567346.

It is an arithmetic number, because the mean of its divisors is an integer number (490249760).

Almost surely, 2^34058994606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34058994606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47063976960).

34058994606 is an abundant number, since it is smaller than the sum of its proper divisors (60068959314).

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

34058994606 is a wasteful number, since it uses less digits than its factorization.

34058994606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 34058994606 in words is "thirty-four billion, fifty-eight million, nine hundred ninety-four thousand, six hundred six".