34534324000 has 384 divisors, whose sum is σ = 98641670400. Its totient is φ = 11750400000.

The previous prime is 34534323961. The next prime is 34534324001. The reversal of 34534324000 is 42343543.

It is a self number, because there is not a number n which added to its sum of digits gives 34534324000.

It is not an unprimeable number, because it can be changed into a prime (34534324001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84435796 + ... + 84436204.

It is an arithmetic number, because the mean of its divisors is an integer number (256879350).

Almost surely, 2^34534324000 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 34534324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49320835200).

34534324000 is an abundant number, since it is smaller than the sum of its proper divisors (64107346400).

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

34534324000 is a wasteful number, since it uses less digits than its factorization.

34534324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 34534324000 its reverse (42343543), we get a palindrome (34576667543).

The spelling of 34534324000 in words is "thirty-four billion, five hundred thirty-four million, three hundred twenty-four thousand".