3007424 has 56 divisors (see below), whose sum is σ = 7010400. Its totient is φ = 1279488.

The previous prime is 3007423. The next prime is 3007447. The reversal of 3007424 is 4247003.

It is a happy number.

3007424 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 (56).

It is a super-3 number, since 3×3007424³ = 81602833353490563072, which contains 333 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3007396 and 3007405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007421) 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 7 ways as a sum of consecutive naturals, for example, 21884 + ... + 22020.

Almost surely, 2^3007424 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 3007424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505200).

3007424 is an abundant number, since it is smaller than the sum of its proper divisors (4002976).

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

3007424 is an equidigital number, since it uses as much as digits as its factorization.

3007424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 3007424 is about 1734.1926075266. The cubic root of 3007424 is about 144.3438285933.

The spelling of 3007424 in words is "three million, seven thousand, four hundred twenty-four".