34230204288 has 512 divisors, whose sum is σ = 120911616000. Its totient is φ = 9326886912.

The previous prime is 34230204277. The next prime is 34230204299. The reversal of 34230204288 is 88240203243.

It is a happy number.

34230204288 is a `hidden beast` number, since 3 + 423 + 0 + 204 + 28 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (34230204277) and next prime (34230204299).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68051845 + ... + 68052347.

It is an arithmetic number, because the mean of its divisors is an integer number (236155500).

Almost surely, 2^34230204288 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 34230204288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60455808000).

34230204288 is an abundant number, since it is smaller than the sum of its proper divisors (86681411712).

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

34230204288 is a wasteful number, since it uses less digits than its factorization.

34230204288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 34230204288 in words is "thirty-four billion, two hundred thirty million, two hundred four thousand, two hundred eighty-eight".