34317055872 has 192 divisors, whose sum is σ = 108623427120. Its totient is φ = 10398643200.

The previous prime is 34317055867. The next prime is 34317055873. The reversal of 34317055872 is 27855071343.

34317055872 is a `hidden beast` number, since 34 + 31 + 7 + 0 + 5 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34317055873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1522122 + ... + 1544502.

Almost surely, 2^34317055872 is an apocalyptic number.

34317055872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34317055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54311713560).

34317055872 is an abundant number, since it is smaller than the sum of its proper divisors (74306371248).

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

34317055872 is a wasteful number, since it uses less digits than its factorization.

34317055872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22434 (or 22397 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 34317055872 in words is "thirty-four billion, three hundred seventeen million, fifty-five thousand, eight hundred seventy-two".