3357222120 has 256 divisors, whose sum is σ = 13231296000. Its totient is φ = 740855808.

The previous prime is 3357222107. The next prime is 3357222161. The reversal of 3357222120 is 212227533.

It is a happy number.

It is a super-2 number, since 2×3357222120² = 22541880726034588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211584 + ... + 226896.

It is an arithmetic number, because the mean of its divisors is an integer number (51684750).

Almost surely, 2^3357222120 is an apocalyptic number.

3357222120 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 3357222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615648000).

3357222120 is an abundant number, since it is smaller than the sum of its proper divisors (9874073880).

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

3357222120 is a wasteful number, since it uses less digits than its factorization.

3357222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15369 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3357222120 is about 57941.5405387189. The cubic root of 3357222120 is about 1497.3616019581.

Adding to 3357222120 its reverse (212227533), we get a palindrome (3569449653).

The spelling of 3357222120 in words is "three billion, three hundred fifty-seven million, two hundred twenty-two thousand, one hundred twenty".