3039264 has 72 divisors (see below), whose sum is σ = 8835372. Its totient is φ = 990720.

The previous prime is 3039263. The next prime is 3039269. The reversal of 3039264 is 4629303.

It can be written as a sum of positive squares in 2 ways, for example, as 3027600 + 11664 = 1740^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3039263) 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 11 ways as a sum of consecutive naturals, for example, 17482 + ... + 17654.

Almost surely, 2^3039264 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 3039264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417686).

3039264 is an abundant number, since it is smaller than the sum of its proper divisors (5796108).

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

3039264 is a wasteful number, since it uses less digits than its factorization.

3039264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3039264 is about 1743.3485021647. The cubic root of 3039264 is about 144.8514372166.

The spelling of 3039264 in words is "three million, thirty-nine thousand, two hundred sixty-four".