3414312 has 80 divisors (see below), whose sum is σ = 10454400. Its totient is φ = 1032480.

The previous prime is 3414311. The next prime is 3414337. The reversal of 3414312 is 2134143.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (3414311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6889 + ... + 7367.

It is an arithmetic number, because the mean of its divisors is an integer number (130680).

Almost surely, 2^3414312 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 3414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227200).

3414312 is an abundant number, since it is smaller than the sum of its proper divisors (7040088).

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

3414312 is a wasteful number, since it uses less digits than its factorization.

3414312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 495 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3414312 is about 1847.7857018605. The cubic root of 3414312 is about 150.5801532552.

Adding to 3414312 its reverse (2134143), we get a palindrome (5548455).

The spelling of 3414312 in words is "three million, four hundred fourteen thousand, three hundred twelve".