3005420 has 48 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 1033920.

The previous prime is 3005417. The next prime is 3005449. The reversal of 3005420 is 245003.

It is a junction number, because it is equal to n+sod(n) for n = 3005395 and 3005404.

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, 3821 + ... + 4539.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^3005420 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 3005420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

3005420 is an abundant number, since it is smaller than the sum of its proper divisors (4252180).

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

3005420 is a wasteful number, since it uses less digits than its factorization.

3005420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 3005420 is about 1733.6147207497. The cubic root of 3005420 is about 144.3117602510.

The spelling of 3005420 in words is "three million, five thousand, four hundred twenty".