34144321023304 has 32 divisors (see below), whose sum is σ = 64082357496000. Its totient is φ = 17055694301632.

The previous prime is 34144321023257. The next prime is 34144321023391. The reversal of 34144321023304 is 40332012344143.

34144321023304 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34144321023304² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34144321023304.

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 7 ways as a sum of consecutive naturals, for example, 151802877 + ... + 152027635.

It is an arithmetic number, because the mean of its divisors is an integer number (2002573671750).

Almost surely, 2^{34144321023304} is an apocalyptic number.

It is an amenable number.

34144321023304 is a deficient number, since it is larger than the sum of its proper divisors (29938036472696).

34144321023304 is a wasteful number, since it uses less digits than its factorization.

34144321023304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242997 (or 242993 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 34144321023304 its reverse (40332012344143), we get a palindrome (74476333367447).

The spelling of 34144321023304 in words is "thirty-four trillion, one hundred forty-four billion, three hundred twenty-one million, twenty-three thousand, three hundred four".