3072384 has 128 divisors (see below), whose sum is σ = 10444800. Its totient is φ = 870912.

The previous prime is 3072373. The next prime is 3072403. The reversal of 3072384 is 4832703.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24129 + ... + 24255.

It is an arithmetic number, because the mean of its divisors is an integer number (81600).

Almost surely, 2^3072384 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 3072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222400).

3072384 is an abundant number, since it is smaller than the sum of its proper divisors (7372416).

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

3072384 is a wasteful number, since it uses less digits than its factorization.

3072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

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

The square root of 3072384 is about 1752.8217251050. The cubic root of 3072384 is about 145.3757042429.

The spelling of 3072384 in words is "three million, seventy-two thousand, three hundred eighty-four".