34330068000 has 672 divisors, whose sum is σ = 129204824112. Its totient is φ = 8957952000.

The previous prime is 34330067987. The next prime is 34330068007. The reversal of 34330068000 is 86003343.

It can be written as a sum of positive squares in 8 ways, for example, as 2227462416 + 32102605584 = 47196^2 + 179172^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34330068007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 177875904 + ... + 177876096.

Almost surely, 2^34330068000 is an apocalyptic number.

34330068000 is a gapful number since it is divisible by the number (30) 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 34330068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64602412056).

34330068000 is an abundant number, since it is smaller than the sum of its proper divisors (94874756112).

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

34330068000 is an equidigital number, since it uses as much as digits as its factorization.

34330068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 34330068000 in words is "thirty-four billion, three hundred thirty million, sixty-eight thousand".