34324132224 has 64 divisors (see below), whose sum is σ = 91555200000. Its totient is φ = 11393475072.

The previous prime is 34324132177. The next prime is 34324132229. The reversal of 34324132224 is 42223142343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34324132191 and 34324132200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34324132229) 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, 95224 + ... + 278775.

It is an arithmetic number, because the mean of its divisors is an integer number (1430550000).

Almost surely, 2^34324132224 is an apocalyptic number.

It is an amenable number.

34324132224 is an abundant number, since it is smaller than the sum of its proper divisors (57231067776).

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

34324132224 is a wasteful number, since it uses less digits than its factorization.

34324132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374255 (or 374243 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 34324132224 its reverse (42223142343), we get a palindrome (76547274567).

The spelling of 34324132224 in words is "thirty-four billion, three hundred twenty-four million, one hundred thirty-two thousand, two hundred twenty-four".