34236232307088 has 480 divisors, whose sum is σ = 109448323787520. Its totient is φ = 9163109007360.

The previous prime is 34236232307063. The next prime is 34236232307191. The reversal of 34236232307088 is 88070323263243.

It is a super-2 number, since 2×34236232307088² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 34236232307088.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19201475445 + ... + 19201477227.

It is an arithmetic number, because the mean of its divisors is an integer number (228017341224).

Almost surely, 2^{34236232307088} 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 34236232307088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54724161893760).

34236232307088 is an abundant number, since it is smaller than the sum of its proper divisors (75212091480432).

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

34236232307088 is a wasteful number, since it uses less digits than its factorization.

34236232307088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 34236232307088 in words is "thirty-four trillion, two hundred thirty-six billion, two hundred thirty-two million, three hundred seven thousand, eighty-eight".