34666519968 has 144 divisors (see below), whose sum is σ = 102331022976. Its totient is φ = 11544560640.

The previous prime is 34666519963. The next prime is 34666519997. The reversal of 34666519968 is 86991566643.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (34666519961) 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, 16040808 + ... + 16042968.

It is an arithmetic number, because the mean of its divisors is an integer number (710632104).

Almost surely, 2^34666519968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34666519968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51165511488).

34666519968 is an abundant number, since it is smaller than the sum of its proper divisors (67664503008).

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

34666519968 is a wasteful number, since it uses less digits than its factorization.

34666519968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249 (or 4229 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 34666519968 in words is "thirty-four billion, six hundred sixty-six million, five hundred nineteen thousand, nine hundred sixty-eight".