3840457216 has 40 divisors (see below), whose sum is σ = 8124809220. Its totient is φ = 1807269888.

The previous prime is 3840457183. The next prime is 3840457261. The reversal of 3840457216 is 6127540483.

It can be written as a sum of positive squares in 2 ways, for example, as 3725881600 + 114575616 = 61040^2 + 10704^2 .

It is a super-2 number, since 2×3840457216² = 29498223255852941312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211911 + ... + 229318.

Almost surely, 2^3840457216 is an apocalyptic number.

It is an amenable number.

3840457216 is an abundant number, since it is smaller than the sum of its proper divisors (4284352004).

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

3840457216 is an equidigital number, since it uses as much as digits as its factorization.

3840457216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441264 (or 441248 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 3840457216 is about 61971.4225752483. The cubic root of 3840457216 is about 1566.0092046997.

Adding to 3840457216 its reverse (6127540483), we get a palindrome (9967997699).

The spelling of 3840457216 in words is "three billion, eight hundred forty million, four hundred fifty-seven thousand, two hundred sixteen".