3309384168 has 192 divisors, whose sum is σ = 9651960000. Its totient is φ = 1050468480.

The previous prime is 3309384073. The next prime is 3309384191. The reversal of 3309384168 is 8614839033.

It is a super-3 number, since 3×3309384168³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 22210558 + ... + 22210706.

It is an arithmetic number, because the mean of its divisors is an integer number (50270625).

Almost surely, 2^3309384168 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 3309384168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825980000).

3309384168 is an abundant number, since it is smaller than the sum of its proper divisors (6342575832).

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

3309384168 is a wasteful number, since it uses less digits than its factorization.

3309384168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3309384168 is about 57527.2471790542. The cubic root of 3309384168 is about 1490.2154498294.

The spelling of 3309384168 in words is "three billion, three hundred nine million, three hundred eighty-four thousand, one hundred sixty-eight".