4084493688 has 256 divisors, whose sum is σ = 13201344000. Its totient is φ = 1171532160.

The previous prime is 4084493683. The next prime is 4084493717. The reversal of 4084493688 is 8863944804.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084493681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3656106 + ... + 3657222.

It is an arithmetic number, because the mean of its divisors is an integer number (51567750).

Almost surely, 2^4084493688 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 4084493688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600672000).

4084493688 is an abundant number, since it is smaller than the sum of its proper divisors (9116850312).

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

4084493688 is a wasteful number, since it uses less digits than its factorization.

4084493688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 4084493688 is about 63910.0437177131. The cubic root of 4084493688 is about 1598.5003771879.

The spelling of 4084493688 in words is "four billion, eighty-four million, four hundred ninety-three thousand, six hundred eighty-eight".