3084243840 has 192 divisors, whose sum is σ = 10852302240. Its totient is φ = 806866944.

The previous prime is 3084243839. The next prime is 3084243859. The reversal of 3084243840 is 483424803.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3084243795 and 3084243804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300229 + ... + 310331.

Almost surely, 2^3084243840 is an apocalyptic number.

3084243840 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 3084243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426151120).

3084243840 is an abundant number, since it is smaller than the sum of its proper divisors (7768058400).

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

3084243840 is a wasteful number, since it uses less digits than its factorization.

3084243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10181 (or 10166 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3084243840 is about 55535.9688850388. The cubic root of 3084243840 is about 1455.6252104611.

The spelling of 3084243840 in words is "three billion, eighty-four million, two hundred forty-three thousand, eight hundred forty".