34224403131100 has 144 divisors (see below), whose sum is σ = 91409949388800. Its totient is φ = 10830930174720.

The previous prime is 34224403131071. The next prime is 34224403131157. The reversal of 34224403131100 is 113130442243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 47 ways as a sum of consecutive naturals, for example, 213396741 + ... + 213557059.

It is an arithmetic number, because the mean of its divisors is an integer number (634791315200).

Almost surely, 2^{34224403131100} 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 34224403131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45704974694400).

34224403131100 is an abundant number, since it is smaller than the sum of its proper divisors (57185546257700).

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

34224403131100 is a wasteful number, since it uses less digits than its factorization.

34224403131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183812 (or 183805 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 34224403131100 its reverse (113130442243), we get a palindrome (34337533573343).

The spelling of 34224403131100 in words is "thirty-four trillion, two hundred twenty-four billion, four hundred three million, one hundred thirty-one thousand, one hundred".