234342088200 has 960 divisors, whose sum is σ = 933368832000. Its totient is φ = 53970624000.

The previous prime is 234342088171. The next prime is 234342088217. The reversal of 234342088200 is 2880243432.

It is a happy number.

234342088200 is a `hidden beast` number, since 2 + 34 + 342 + 0 + 88 + 200 = 666.

234342088200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

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 239 ways as a sum of consecutive naturals, for example, 325927441 + ... + 325928159.

It is an arithmetic number, because the mean of its divisors is an integer number (972259200).

Almost surely, 2^234342088200 is an apocalyptic number.

234342088200 is a gapful number since it is divisible by the number (20) 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 234342088200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466684416000).

234342088200 is an abundant number, since it is smaller than the sum of its proper divisors (699026743800).

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

234342088200 is a wasteful number, since it uses less digits than its factorization.

234342088200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 830 counting only the distinct ones).

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

The spelling of 234342088200 in words is "two hundred thirty-four billion, three hundred forty-two million, eighty-eight thousand, two hundred".