3224142334000 has 160 divisors (see below), whose sum is σ = 9150490866816. Its totient is φ = 1075543833600.

The previous prime is 3224142333967. The next prime is 3224142334003. The reversal of 3224142334000 is 4332414223.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3224142334000.

It is not an unprimeable number, because it can be changed into a prime (3224142334003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2594107 + ... + 3630106.

Almost surely, 2^{3224142334000} is an apocalyptic number.

It is an amenable number.

3224142334000 is an abundant number, since it is smaller than the sum of its proper divisors (5926348532816).

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

3224142334000 is a wasteful number, since it uses less digits than its factorization.

3224142334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224280 (or 6224264 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3224142334000 its reverse (4332414223), we get a palindrome (3228474748223).

The spelling of 3224142334000 in words is "three trillion, two hundred twenty-four billion, one hundred forty-two million, three hundred thirty-four thousand".