3122304 has 64 divisors (see below), whose sum is σ = 8519040. Its totient is φ = 1012736.

The previous prime is 3122299. The next prime is 3122309. The reversal of 3122304 is 4032213.

It is an interprime number because it is at equal distance from previous prime (3122299) and next prime (3122309).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17962 + ... + 18134.

It is an arithmetic number, because the mean of its divisors is an integer number (133110).

Almost surely, 2^3122304 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 3122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259520).

3122304 is an abundant number, since it is smaller than the sum of its proper divisors (5396736).

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

3122304 is a wasteful number, since it uses less digits than its factorization.

3122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3122304 is about 1767.0042444771. The cubic root of 3122304 is about 146.1588313379.

Subtracting from 3122304 its sum of digits (15), we obtain a square (3122289 = 1767²).

Adding to 3122304 its reverse (4032213), we get a palindrome (7154517).

Subtracting 3122304 from its reverse (4032213), we obtain a palindrome (909909).

The spelling of 3122304 in words is "three million, one hundred twenty-two thousand, three hundred four".