3072480 has 96 divisors (see below), whose sum is σ = 9997344. Its totient is φ = 792576.

The previous prime is 3072473. The next prime is 3072481. The reversal of 3072480 is 842703.

3072480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3072480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3072481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17674 + ... + 17846.

It is an arithmetic number, because the mean of its divisors is an integer number (104139).

Almost surely, 2^3072480 is an apocalyptic number.

3072480 is a gapful number since it is divisible by the number (30) 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 3072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998672).

3072480 is an abundant number, since it is smaller than the sum of its proper divisors (6924864).

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

3072480 is a wasteful number, since it uses less digits than its factorization.

3072480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3072480 is about 1752.8491093075. The cubic root of 3072480 is about 145.3772183681.

The spelling of 3072480 in words is "three million, seventy-two thousand, four hundred eighty".