34106634330 has 64 divisors (see below), whose sum is σ = 84456086400. Its totient is φ = 8809390080.

The previous prime is 34106634329. The next prime is 34106634347. The reversal of 34106634330 is 3343660143.

It is a junction number, because it is equal to n+sod(n) for n = 34106634291 and 34106634300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71226 + ... + 270714.

It is an arithmetic number, because the mean of its divisors is an integer number (1319626350).

Almost surely, 2^34106634330 is an apocalyptic number.

34106634330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34106634330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42228043200).

34106634330 is an abundant number, since it is smaller than the sum of its proper divisors (50349452070).

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

34106634330 is a wasteful number, since it uses less digits than its factorization.

34106634330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199679.

The product of its (nonzero) digits is 46656, while the sum is 33.

The spelling of 34106634330 in words is "thirty-four billion, one hundred six million, six hundred thirty-four thousand, three hundred thirty".