34107762096 has 160 divisors (see below), whose sum is σ = 101824435200. Its totient is φ = 10921547520.

The previous prime is 34107762077. The next prime is 34107762097. The reversal of 34107762096 is 69026770143.

34107762096 is a `hidden beast` number, since 3 + 4 + 10 + 7 + 7 + 620 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (34107762097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249231 + ... + 1276241.

It is an arithmetic number, because the mean of its divisors is an integer number (636402720).

Almost surely, 2^34107762096 is an apocalyptic number.

34107762096 is a gapful number since it is divisible by the number (36) 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 34107762096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50912217600).

34107762096 is an abundant number, since it is smaller than the sum of its proper divisors (67716673104).

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

34107762096 is a wasteful number, since it uses less digits than its factorization.

34107762096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27144 (or 27132 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 34107762096 in words is "thirty-four billion, one hundred seven million, seven hundred sixty-two thousand, ninety-six".