3387168 has 72 divisors (see below), whose sum is σ = 10155600. Its totient is φ = 1067904.

The previous prime is 3387161. The next prime is 3387169. The reversal of 3387168 is 8617833.

3387168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3387168² = 22945814120448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3387161) by changing a digit.

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, 5163 + ... + 5781.

It is an arithmetic number, because the mean of its divisors is an integer number (141050).

Almost surely, 2^3387168 is an apocalyptic number.

3387168 is a gapful number since it is divisible by the number (38) 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 3387168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077800).

3387168 is an abundant number, since it is smaller than the sum of its proper divisors (6768432).

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

3387168 is a wasteful number, since it uses less digits than its factorization.

3387168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3387168 is about 1840.4260376337. The cubic root of 3387168 is about 150.1800504591.

It can be divided in two parts, 338716 and 8, that added together give a square (338724 = 582²).

The spelling of 3387168 in words is "three million, three hundred eighty-seven thousand, one hundred sixty-eight".