3005040420 has 72 divisors (see below), whose sum is σ = 9121432320. Its totient is φ = 800804160.

The previous prime is 3005040371. The next prime is 3005040421. The reversal of 3005040420 is 240405003.

It is a happy number.

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 = 3005040393 and 3005040402.

It is not an unprimeable number, because it can be changed into a prime (3005040421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311875 + ... + 321365.

It is an arithmetic number, because the mean of its divisors is an integer number (126686560).

Almost surely, 2^3005040420 is an apocalyptic number.

3005040420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3005040420 is an abundant number, since it is smaller than the sum of its proper divisors (6116391900).

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

3005040420 is a wasteful number, since it uses less digits than its factorization.

3005040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11265 (or 11260 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3005040420 is about 54818.2489687513. The cubic root of 3005040420 is about 1443.0568454287.

Adding to 3005040420 its reverse (240405003), we get a palindrome (3245445423).

The spelling of 3005040420 in words is "three billion, five million, forty thousand, four hundred twenty".