34318058112 has 192 divisors, whose sum is σ = 106491457800. Its totient is φ = 10545389568.

The previous prime is 34318058107. The next prime is 34318058129. The reversal of 34318058112 is 21185081343.

34318058112 is a `hidden beast` number, since 34 + 31 + 8 + 0 + 581 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32495109696 + 1822948416 = 180264^2 + 42696^2 .

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

It is a super-2 number, since 2×34318058112² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20561214 + ... + 20562882.

Almost surely, 2^34318058112 is an apocalyptic number.

34318058112 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 34318058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53245728900).

34318058112 is an abundant number, since it is smaller than the sum of its proper divisors (72173399688).

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

34318058112 is a wasteful number, since it uses less digits than its factorization.

34318058112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 34318058112 in words is "thirty-four billion, three hundred eighteen million, fifty-eight thousand, one hundred twelve".