4084005632 has 72 divisors (see below), whose sum is σ = 9469623072. Its totient is φ = 1721548800.

The previous prime is 4084005631. The next prime is 4084005641. The reversal of 4084005632 is 2365004804.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4084005631) 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, 90632 + ... + 127992.

Almost surely, 2^4084005632 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 4084005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734811536).

4084005632 is an abundant number, since it is smaller than the sum of its proper divisors (5385617440).

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

4084005632 is an equidigital number, since it uses as much as digits as its factorization.

4084005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37445 (or 37431 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 4084005632 is about 63906.2252992617. The cubic root of 4084005632 is about 1598.4367064015.

The spelling of 4084005632 in words is "four billion, eighty-four million, five thousand, six hundred thirty-two".