4084084320 has 48 divisors (see below), whose sum is σ = 12864867120. Its totient is φ = 1089089024.

The previous prime is 4084084313. The next prime is 4084084321. The reversal of 4084084320 is 234804804.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084084321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4253775 + ... + 4254734.

It is an arithmetic number, because the mean of its divisors is an integer number (268018065).

Almost surely, 2^4084084320 is an apocalyptic number.

4084084320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4084084320 is an abundant number, since it is smaller than the sum of its proper divisors (8780782800).

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

4084084320 is a wasteful number, since it uses less digits than its factorization.

4084084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508527 (or 8508519 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 4084084320 is about 63906.8409483680. The cubic root of 4084084320 is about 1598.4469722198.

The spelling of 4084084320 in words is "four billion, eighty-four million, eighty-four thousand, three hundred twenty".