34491794112 has 224 divisors, whose sum is σ = 103416445440. Its totient is φ = 11270937600.

The previous prime is 34491794081. The next prime is 34491794123. The reversal of 34491794112 is 21149719443.

34491794112 is a `hidden beast` number, since 3 + 449 + 1 + 7 + 94 + 112 = 666.

It is a super-2 number, since 2×34491794112² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18673573 + ... + 18675419.

It is an arithmetic number, because the mean of its divisors is an integer number (461680560).

Almost surely, 2^34491794112 is an apocalyptic number.

34491794112 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 34491794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51708222720).

34491794112 is an abundant number, since it is smaller than the sum of its proper divisors (68924651328).

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

34491794112 is a wasteful number, since it uses less digits than its factorization.

34491794112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2060 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 34491794112 in words is "thirty-four billion, four hundred ninety-one million, seven hundred ninety-four thousand, one hundred twelve".