34323104000000 has 336 divisors, whose sum is σ = 86999720764320. Its totient is φ = 13534976000000.

The previous prime is 34323103999991. The next prime is 34323104000021. The reversal of 34323104000000 is 40132343.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 27 ways as a sum of consecutive naturals, for example, 2271992447 + ... + 2272007553.

It is an arithmetic number, because the mean of its divisors is an integer number (258927740370).

Almost surely, 2^{34323104000000} 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 34323104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43499860382160).

34323104000000 is an abundant number, since it is smaller than the sum of its proper divisors (52676616764320).

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

34323104000000 is an frugal number, since it uses more digits than its factorization.

34323104000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230 (or 15185 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34323104000000 its reverse (40132343), we get a palindrome (34323144132343).

The spelling of 34323104000000 in words is "thirty-four trillion, three hundred twenty-three billion, one hundred four million", and thus it is an aban number.