4004536319 has 16 divisors (see below), whose sum is σ = 4672891200. Its totient is φ = 3430344960.

The previous prime is 4004536309. The next prime is 4004536343. The reversal of 4004536319 is 9136354004.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-4004536319 is a prime.

It is a super-2 number, since 2×4004536319² = 32072622260380139522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004536309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 845879 + ... + 850599.

It is an arithmetic number, because the mean of its divisors is an integer number (292055700).

Almost surely, 2^4004536319 is an apocalyptic number.

4004536319 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4004536319 is a deficient number, since it is larger than the sum of its proper divisors (668354881).

4004536319 is an equidigital number, since it uses as much as digits as its factorization.

4004536319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7215 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 4004536319 is about 63281.4057919070. The cubic root of 4004536319 is about 1588.0009050610. Note that the first 3 decimals are identical.

The spelling of 4004536319 in words is "four billion, four million, five hundred thirty-six thousand, three hundred nineteen".