34414214224 has 40 divisors (see below), whose sum is σ = 72465405320. Its totient is φ = 15737753088.

The previous prime is 34414214207. The next prime is 34414214251. The reversal of 34414214224 is 42241241443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 620010000 + 33794204224 = 24900^2 + 183832^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736287 + ... + 781630.

It is an arithmetic number, because the mean of its divisors is an integer number (1811635133).

Almost surely, 2^34414214224 is an apocalyptic number.

It is an amenable number.

34414214224 is an abundant number, since it is smaller than the sum of its proper divisors (38051191096).

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

34414214224 is a wasteful number, since it uses less digits than its factorization.

34414214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518047 (or 1518041 counting only the distinct ones).

The product of its digits is 24576, while the sum is 31.

Adding to 34414214224 its reverse (42241241443), we get a palindrome (76655455667).

The spelling of 34414214224 in words is "thirty-four billion, four hundred fourteen million, two hundred fourteen thousand, two hundred twenty-four".