34347052199106 has 192 divisors, whose sum is σ = 79654168994400. Its totient is φ = 10676510208000.

The previous prime is 34347052199093. The next prime is 34347052199123. The reversal of 34347052199106 is 60199125074343.

34347052199106 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 7 + 0 + 521 + 9 + 9 + 106 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 860981707881 + 33486070491225 = 927891^2 + 5786715^2 .

It is a super-2 number, since 2×34347052199106² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3034990560 + ... + 3035001876.

Almost surely, 2^{34347052199106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34347052199106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39827084497200).

34347052199106 is an abundant number, since it is smaller than the sum of its proper divisors (45307116795294).

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

34347052199106 is a wasteful number, since it uses less digits than its factorization.

34347052199106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12805 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 34347052199106 in words is "thirty-four trillion, three hundred forty-seven billion, fifty-two million, one hundred ninety-nine thousand, one hundred six".