3000840 has 64 divisors (see below), whose sum is σ = 9538560. Its totient is φ = 752640.

The previous prime is 3000821. The next prime is 3000847. The reversal of 3000840 is 480003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3000847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305 + ... + 2775.

It is an arithmetic number, because the mean of its divisors is an integer number (149040).

Almost surely, 2^3000840 is an apocalyptic number.

3000840 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 3000840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769280).

3000840 is an abundant number, since it is smaller than the sum of its proper divisors (6537720).

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

3000840 is a wasteful number, since it uses less digits than its factorization.

3000840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3000840 is about 1732.2932777102. The cubic root of 3000840 is about 144.2384167706.

Adding to 3000840 its reverse (480003), we get a palindrome (3480843).

The spelling of 3000840 in words is "three million, eight hundred forty", and thus it is an aban number.