4038645105 has 24 divisors (see below), whose sum is σ = 7636711680. Its totient is φ = 1958130720.

The previous prime is 4038645089. The next prime is 4038645161. The reversal of 4038645105 is 5015468304.

It is a happy number.

4038645105 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 645 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 4038645105 - 2⁴ = 4038645089 is a prime.

It is a super-2 number, since 2×4038645105² = 32621308568280922050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4038645105.

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 23 ways as a sum of consecutive naturals, for example, 4078945 + ... + 4079934.

It is an arithmetic number, because the mean of its divisors is an integer number (318196320).

Almost surely, 2^4038645105 is an apocalyptic number.

4038645105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4038645105 is a deficient number, since it is larger than the sum of its proper divisors (3598066575).

4038645105 is a wasteful number, since it uses less digits than its factorization.

4038645105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158901 (or 8158898 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4038645105 is about 63550.3352076132. The cubic root of 4038645105 is about 1592.4967833029.

It can be divided in two parts, 40386 and 45105, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 4038645105 in words is "four billion, thirty-eight million, six hundred forty-five thousand, one hundred five".