3413312 has 56 divisors (see below), whose sum is σ = 8168640. Its totient is φ = 1382400.

The previous prime is 3413309. The next prime is 3413321. The reversal of 3413312 is 2133143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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, 8312 + ... + 8712.

Almost surely, 2^3413312 is an apocalyptic number.

3413312 is a gapful number since it is divisible by the number (32) 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 3413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084320).

3413312 is an abundant number, since it is smaller than the sum of its proper divisors (4755328).

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

3413312 is a wasteful number, since it uses less digits than its factorization.

3413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its digits is 216, while the sum is 17.

The square root of 3413312 is about 1847.5150878951. The cubic root of 3413312 is about 150.5654509416.

Adding to 3413312 its reverse (2133143), we get a palindrome (5546455).

The spelling of 3413312 in words is "three million, four hundred thirteen thousand, three hundred twelve".