4084882704 has 160 divisors (see below), whose sum is σ = 13570560000. Its totient is φ = 1152268416.

The previous prime is 4084882699. The next prime is 4084882807. The reversal of 4084882704 is 4072884804.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4084882704.

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 31 ways as a sum of consecutive naturals, for example, 230347 + ... + 247445.

It is an arithmetic number, because the mean of its divisors is an integer number (84816000).

Almost surely, 2^4084882704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4084882704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280000).

4084882704 is an abundant number, since it is smaller than the sum of its proper divisors (9485677296).

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

4084882704 is a wasteful number, since it uses less digits than its factorization.

4084882704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17202 (or 17190 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 4084882704 is about 63913.0871105441. The cubic root of 4084882704 is about 1598.5511237863.

The spelling of 4084882704 in words is "four billion, eighty-four million, eight hundred eighty-two thousand, seven hundred four".