3840864048 has 320 divisors, whose sum is σ = 12966789120. Its totient is φ = 1065996288.

The previous prime is 3840863989. The next prime is 3840864059. The reversal of 3840864048 is 8404680483.

It is a junction number, because it is equal to n+sod(n) for n = 3840863994 and 3840864012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28035436 + ... + 28035572.

It is an arithmetic number, because the mean of its divisors is an integer number (40521216).

Almost surely, 2^3840864048 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 3840864048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483394560).

3840864048 is an abundant number, since it is smaller than the sum of its proper divisors (9125925072).

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

3840864048 is a wasteful number, since it uses less digits than its factorization.

3840864048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3840864048 is about 61974.7049045012. The cubic root of 3840864048 is about 1566.0645002132.

The spelling of 3840864048 in words is "three billion, eight hundred forty million, eight hundred sixty-four thousand, forty-eight".