3333004344224 has 24 divisors (see below), whose sum is σ = 6947843615748. Its totient is φ = 1568472632320.

The previous prime is 3333004344217. The next prime is 3333004344233. The reversal of 3333004344224 is 4224434003333.

It can be written as a sum of positive squares in 2 ways, for example, as 3127733731600 + 205270612624 = 1768540^2 + 453068^2 .

It is a super-4 number, since 4×3333004344224⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3063422567 + ... + 3063423654.

Almost surely, 2^{3333004344224} is an apocalyptic number.

3333004344224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3333004344224 is an abundant number, since it is smaller than the sum of its proper divisors (3614839271524).

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

3333004344224 is a wasteful number, since it uses less digits than its factorization.

3333004344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126846248 (or 6126846240 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 3333004344224 its reverse (4224434003333), we get a palindrome (7557438347557).

The spelling of 3333004344224 in words is "three trillion, three hundred thirty-three billion, four million, three hundred forty-four thousand, two hundred twenty-four".