3334214413120 has 56 divisors (see below), whose sum is σ = 8009860087944. Its totient is φ = 1321883222016.

The previous prime is 3334214413099. The next prime is 3334214413141. The reversal of 3334214413120 is 213144124333.

It is an interprime number because it is at equal distance from previous prime (3334214413099) and next prime (3334214413141).

It can be written as a sum of positive squares in 4 ways, for example, as 21173742144 + 3313040670976 = 145512^2 + 1820176^2 .

It is a super-2 number, since 2×3334214413120² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46067469 + ... + 46139788.

Almost surely, 2^{3334214413120} is an apocalyptic number.

It is an amenable number.

3334214413120 is an abundant number, since it is smaller than the sum of its proper divisors (4675645674824).

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

3334214413120 is a wasteful number, since it uses less digits than its factorization.

3334214413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92207387 (or 92207377 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 3334214413120 its reverse (213144124333), we get a palindrome (3547358537453).

The spelling of 3334214413120 in words is "three trillion, three hundred thirty-four billion, two hundred fourteen million, four hundred thirteen thousand, one hundred twenty".