4084004008 has 32 divisors (see below), whose sum is σ = 8776699200. Its totient is φ = 1745235072.

The previous prime is 4084003997. The next prime is 4084004017. The reversal of 4084004008 is 8004004804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85653 + ... + 124516.

It is an arithmetic number, because the mean of its divisors is an integer number (274271850).

Almost surely, 2^4084004008 is an apocalyptic number.

It is an amenable number.

4084004008 is an abundant number, since it is smaller than the sum of its proper divisors (4692695192).

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

4084004008 is a wasteful number, since it uses less digits than its factorization.

4084004008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210529 (or 210525 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4084004008 is about 63906.2125931431. The cubic root of 4084004008 is about 1598.4364945293.

The spelling of 4084004008 in words is "four billion, eighty-four million, four thousand, eight".