3384168 has 48 divisors (see below), whose sum is σ = 8779680. Its totient is φ = 1086912.

The previous prime is 3384149. The next prime is 3384179. The reversal of 3384168 is 8614833.

3384168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3384168² = 22905186104448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32805 + ... + 32907.

It is an arithmetic number, because the mean of its divisors is an integer number (182910).

Almost surely, 2^3384168 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 3384168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389840).

3384168 is an abundant number, since it is smaller than the sum of its proper divisors (5395512).

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

3384168 is a wasteful number, since it uses less digits than its factorization.

3384168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 3384168 is about 1839.6108284091. The cubic root of 3384168 is about 150.1356994230.

The spelling of 3384168 in words is "three million, three hundred eighty-four thousand, one hundred sixty-eight".