34416722712096 has 72 divisors (see below), whose sum is σ = 102127883719680. Its totient is φ = 10973447819136.

The previous prime is 34416722712067. The next prime is 34416722712101. The reversal of 34416722712096 is 69021722761443.

34416722712096 is a `hidden beast` number, since 3 + 4 + 4 + 167 + 2 + 271 + 209 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2597874016 + ... + 2597887263.

It is an arithmetic number, because the mean of its divisors is an integer number (1418442829440).

Almost surely, 2^{34416722712096} is an apocalyptic number.

34416722712096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34416722712096 is an abundant number, since it is smaller than the sum of its proper divisors (67711161007584).

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

34416722712096 is a wasteful number, since it uses less digits than its factorization.

34416722712096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195761318 (or 5195761307 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 34416722712096 in words is "thirty-four trillion, four hundred sixteen billion, seven hundred twenty-two million, seven hundred twelve thousand, ninety-six".