3840928896 has 192 divisors, whose sum is σ = 12279168000. Its totient is φ = 1059416064.

The previous prime is 3840928859. The next prime is 3840928919. The reversal of 3840928896 is 6988290483.

It is a tau number, because it is divible by the number of its divisors (192).

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, 542145 + ... + 549183.

It is an arithmetic number, because the mean of its divisors is an integer number (63954000).

Almost surely, 2^3840928896 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 3840928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139584000).

3840928896 is an abundant number, since it is smaller than the sum of its proper divisors (8438239104).

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

3840928896 is a wasteful number, since it uses less digits than its factorization.

3840928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The square root of 3840928896 is about 61975.2280834851. The cubic root of 3840928896 is about 1566.0733138185.

The spelling of 3840928896 in words is "three billion, eight hundred forty million, nine hundred twenty-eight thousand, eight hundred ninety-six".