4038384040 has 32 divisors (see below), whose sum is σ = 9090603360. Its totient is φ = 1614600000.

The previous prime is 4038384019. The next prime is 4038384047. The reversal of 4038384040 is 404838304.

4038384040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4038383987 and 4038384005.

It is not an unprimeable number, because it can be changed into a prime (4038384047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67615 + ... + 112465.

It is an arithmetic number, because the mean of its divisors is an integer number (284081355).

Almost surely, 2^4038384040 is an apocalyptic number.

4038384040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4038384040 is an abundant number, since it is smaller than the sum of its proper divisors (5052219320).

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

4038384040 is a wasteful number, since it uses less digits than its factorization.

4038384040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47113 (or 47109 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 4038384040 is about 63548.2811726643. The cubic root of 4038384040 is about 1592.4624686486.

The spelling of 4038384040 in words is "four billion, thirty-eight million, three hundred eighty-four thousand, forty".