3084840 has 192 divisors, whose sum is σ = 11793600. Its totient is φ = 691200.

The previous prime is 3084839. The next prime is 3084847. The reversal of 3084840 is 484803.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3084847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75220 + ... + 75260.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

Almost surely, 2^3084840 is an apocalyptic number.

3084840 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 3084840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3084840 is an abundant number, since it is smaller than the sum of its proper divisors (8708760).

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

3084840 is a wasteful number, since it uses less digits than its factorization.

3084840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3084840 is about 1756.3712591591. The cubic root of 3084840 is about 145.5718991375.

The spelling of 3084840 in words is "three million, eighty-four thousand, eight hundred forty".