3414144 has 64 divisors (see below), whose sum is σ = 9620640. Its totient is φ = 1069056.

The previous prime is 3414121. The next prime is 3414163. The reversal of 3414144 is 4414143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3414144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6267 + ... + 6789.

Almost surely, 2^3414144 is an apocalyptic number.

3414144 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 3414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810320).

3414144 is an abundant number, since it is smaller than the sum of its proper divisors (6206496).

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

3414144 is a wasteful number, since it uses less digits than its factorization.

3414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 3414144 is about 1847.7402414842. The cubic root of 3414144 is about 150.5776834671.

Adding to 3414144 its reverse (4414143), we get a palindrome (7828287).

Subtracting 3414144 from its reverse (4414143), we obtain a palindrome (999999).

The spelling of 3414144 in words is "three million, four hundred fourteen thousand, one hundred forty-four".