34123414400224 has 48 divisors (see below), whose sum is σ = 68374718017200. Its totient is φ = 16758877287424.

The previous prime is 34123414400171. The next prime is 34123414400227. The reversal of 34123414400224 is 42200441432143.

It is a self number, because there is not a number n which added to its sum of digits gives 34123414400224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34123414400227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5032717 + ... + 9673420.

It is an arithmetic number, because the mean of its divisors is an integer number (1424473292025).

Almost surely, 2^{34123414400224} is an apocalyptic number.

It is an amenable number.

34123414400224 is an abundant number, since it is smaller than the sum of its proper divisors (34251303616976).

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

34123414400224 is a wasteful number, since it uses less digits than its factorization.

34123414400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14707435 (or 14707427 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 34123414400224 its reverse (42200441432143), we get a palindrome (76323855832367).

The spelling of 34123414400224 in words is "thirty-four trillion, one hundred twenty-three billion, four hundred fourteen million, four hundred thousand, two hundred twenty-four".