3313414132224 has 480 divisors, whose sum is σ = 10565501639616. Its totient is φ = 919683072000.

The previous prime is 3313414132183. The next prime is 3313414132247. The reversal of 3313414132224 is 4222314143133.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368111724 + ... + 368120724.

Almost surely, 2^{3313414132224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313414132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282750819808).

3313414132224 is an abundant number, since it is smaller than the sum of its proper divisors (7252087507392).

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

3313414132224 is an equidigital number, since it uses as much as digits as its factorization.

3313414132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 9153 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 3313414132224 its reverse (4222314143133), we get a palindrome (7535728275357).

The spelling of 3313414132224 in words is "three trillion, three hundred thirteen billion, four hundred fourteen million, one hundred thirty-two thousand, two hundred twenty-four".