34206348096 has 42 divisors (see below), whose sum is σ = 98046322322. Its totient is φ = 11402115840.

The previous prime is 34206348083. The next prime is 34206348107. The reversal of 34206348096 is 69084360243.

34206348096 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 634 + 8 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29735553600 + 4470794496 = 172440^2 + 66864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29692435 + ... + 29693586.

Almost surely, 2^34206348096 is an apocalyptic number.

34206348096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34206348096 is an abundant number, since it is smaller than the sum of its proper divisors (63839974226).

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

34206348096 is a wasteful number, since it uses less digits than its factorization.

34206348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59386039 (or 59386026 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 34206348096 in words is "thirty-four billion, two hundred six million, three hundred forty-eight thousand, ninety-six".