3414288 has 40 divisors (see below), whose sum is σ = 8936928. Its totient is φ = 1123072.

The previous prime is 3414287. The next prime is 3414289. The reversal of 3414288 is 8824143.

It is an interprime number because it is at equal distance from previous prime (3414287) and next prime (3414289).

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

It is not an unprimeable number, because it can be changed into a prime (3414287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3556 + ... + 4412.

Almost surely, 2^3414288 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 3414288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468464).

3414288 is an abundant number, since it is smaller than the sum of its proper divisors (5522640).

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

3414288 is a wasteful number, since it uses less digits than its factorization.

3414288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 3414288 is about 1847.7792075895. The cubic root of 3414288 is about 150.5798004333.

The spelling of 3414288 in words is "three million, four hundred fourteen thousand, two hundred eighty-eight".