34320011000224 has 24 divisors (see below), whose sum is σ = 67567742494560. Its totient is φ = 17159949414336.

The previous prime is 34320011000203. The next prime is 34320011000273. The reversal of 34320011000224 is 42200011002343.

It is a junction number, because it is equal to n+sod(n) for n = 34320011000195 and 34320011000204.

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 3 ways as a sum of consecutive naturals, for example, 9254517 + ... + 12421195.

It is an arithmetic number, because the mean of its divisors is an integer number (2815322603940).

Almost surely, 2^{34320011000224} is an apocalyptic number.

It is an amenable number.

34320011000224 is a deficient number, since it is larger than the sum of its proper divisors (33247731494336).

34320011000224 is a wasteful number, since it uses less digits than its factorization.

34320011000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505372 (or 3505364 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34320011000224 its reverse (42200011002343), we get a palindrome (76520022002567).

It can be divided in two parts, 343200 and 11000224, that added together give a square (11343424 = 3368²).

The spelling of 34320011000224 in words is "thirty-four trillion, three hundred twenty billion, eleven million, two hundred twenty-four", and thus it is an aban number.