34324341134000 has 320 divisors, whose sum is σ = 88874531665920. Its totient is φ = 12792178713600.

The previous prime is 34324341133991. The next prime is 34324341134071. The reversal of 34324341134000 is 43114342343.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338831357 + ... + 338932643.

It is an arithmetic number, because the mean of its divisors is an integer number (277732911456).

Almost surely, 2^{34324341134000} 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 34324341134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44437265832960).

34324341134000 is an abundant number, since it is smaller than the sum of its proper divisors (54550190531920).

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

34324341134000 is a wasteful number, since it uses less digits than its factorization.

34324341134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101525 (or 101509 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 34324341134000 its reverse (43114342343), we get a palindrome (34367455476343).

The spelling of 34324341134000 in words is "thirty-four trillion, three hundred twenty-four billion, three hundred forty-one million, one hundred thirty-four thousand".