3073824 has 72 divisors (see below), whose sum is σ = 9425052. Its totient is φ = 944640.

The previous prime is 3073817. The next prime is 3073831. The reversal of 3073824 is 4283703.

3073824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3073817) and next prime (3073831).

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 291600 = 1668^2 + 540^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3334 + ... + 4154.

Almost surely, 2^3073824 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 3073824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712526).

3073824 is an abundant number, since it is smaller than the sum of its proper divisors (6351228).

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

3073824 is a wasteful number, since it uses less digits than its factorization.

3073824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3073824 is about 1753.2324432316. The cubic root of 3073824 is about 145.3984128102.

The spelling of 3073824 in words is "three million, seventy-three thousand, eight hundred twenty-four".