3042720 has 72 divisors (see below), whose sum is σ = 10388196. Its totient is φ = 811008.

The previous prime is 3042719. The next prime is 3042731. The reversal of 3042720 is 272403.

It is a happy number.

3042720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2471184 + 571536 = 1572^2 + 756^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3042693 and 3042702.

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, 384 + ... + 2496.

Almost surely, 2^3042720 is an apocalyptic number.

3042720 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 3042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194098).

3042720 is an abundant number, since it is smaller than the sum of its proper divisors (7345476).

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

3042720 is a wasteful number, since it uses less digits than its factorization.

3042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3042720 is about 1744.3394165127. The cubic root of 3042720 is about 144.9063207824.

The spelling of 3042720 in words is "three million, forty-two thousand, seven hundred twenty".