3342333120 has 336 divisors, whose sum is σ = 12652845408. Its totient is φ = 744898560.

The previous prime is 3342333103. The next prime is 3342333131. The reversal of 3342333120 is 213332433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3342333120² = 22342381370097868800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 1927774 + ... + 1929506.

It is an arithmetic number, because the mean of its divisors is an integer number (37657278).

Almost surely, 2^3342333120 is an apocalyptic number.

3342333120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326422704).

3342333120 is an abundant number, since it is smaller than the sum of its proper divisors (9310512288).

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

3342333120 is a wasteful number, since it uses less digits than its factorization.

3342333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 3342333120 is about 57812.9148201334. The cubic root of 3342333120 is about 1495.1447636316.

Adding to 3342333120 its reverse (213332433), we get a palindrome (3555665553).

The spelling of 3342333120 in words is "three billion, three hundred forty-two million, three hundred thirty-three thousand, one hundred twenty".