3004920 has 96 divisors (see below), whose sum is σ = 10361520. Its totient is φ = 752640.

The previous prime is 3004919. The next prime is 3004943. The reversal of 3004920 is 294003.

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 = 3004893 and 3004902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5875 + ... + 6365.

Almost surely, 2^3004920 is an apocalyptic number.

3004920 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 3004920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180760).

3004920 is an abundant number, since it is smaller than the sum of its proper divisors (7356600).

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

3004920 is a wasteful number, since it uses less digits than its factorization.

3004920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3004920 is about 1733.4705073926. The cubic root of 3004920 is about 144.3037569457.

Adding to 3004920 its reverse (294003), we get a palindrome (3298923).

The spelling of 3004920 in words is "three million, four thousand, nine hundred twenty".