34668608000 has 160 divisors (see below), whose sum is σ = 93100447440. Its totient is φ = 12800409600.

The previous prime is 34668607973. The next prime is 34668608041. The reversal of 34668608000 is 80686643.

It can be written as a sum of positive squares in 8 ways, for example, as 1497999616 + 33170608384 = 38704^2 + 182128^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811166 + ... + 852834.

Almost surely, 2^34668608000 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 34668608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46550223720).

34668608000 is an abundant number, since it is smaller than the sum of its proper divisors (58431839440).

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

34668608000 is an equidigital number, since it uses as much as digits as its factorization.

34668608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41715 (or 41689 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 34668608000 in words is "thirty-four billion, six hundred sixty-eight million, six hundred eight thousand".