3380144 has 40 divisors (see below), whose sum is σ = 7120080. Its totient is φ = 1553664.

The previous prime is 3380141. The next prime is 3380189. The reversal of 3380144 is 4410833.

3380144 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 2×3380144² = 22850746921472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380141) 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 7 ways as a sum of consecutive naturals, for example, 78587 + ... + 78629.

It is an arithmetic number, because the mean of its divisors is an integer number (178002).

Almost surely, 2^3380144 is an apocalyptic number.

3380144 is a gapful number since it is divisible by the number (34) 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 3380144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560040).

3380144 is an abundant number, since it is smaller than the sum of its proper divisors (3739936).

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

3380144 is an equidigital number, since it uses as much as digits as its factorization.

3380144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3380144 is about 1838.5167935050. The cubic root of 3380144 is about 150.0761687230.

Adding to 3380144 its reverse (4410833), we get a palindrome (7790977).

The spelling of 3380144 in words is "three million, three hundred eighty thousand, one hundred forty-four".