34401200000224 has 48 divisors (see below), whose sum is σ = 72356019724800. Its totient is φ = 16052091732864.

The previous prime is 34401200000191. The next prime is 34401200000303. The reversal of 34401200000224 is 42200000210443.

It is a happy number.

It is a super-2 number, since 2×34401200000224² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34401200000195 and 34401200000204.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 422204944 + ... + 422286415.

It is an arithmetic number, because the mean of its divisors is an integer number (1507417077600).

Almost surely, 2^{34401200000224} is an apocalyptic number.

It is an amenable number.

34401200000224 is an abundant number, since it is smaller than the sum of its proper divisors (37954819724576).

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

34401200000224 is a wasteful number, since it uses less digits than its factorization.

34401200000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844491455 (or 844491447 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34401200000224 its reverse (42200000210443), we get a palindrome (76601200210667).

The spelling of 34401200000224 in words is "thirty-four trillion, four hundred one billion, two hundred million, two hundred twenty-four", and thus it is an aban number.