3840804864 has 360 divisors, whose sum is σ = 12513230730. Its totient is φ = 1173159936.

The previous prime is 3840804841. The next prime is 3840804887. The reversal of 3840804864 is 4684080483.

It is an interprime number because it is at equal distance from previous prime (3840804841) and next prime (3840804887).

It can be written as a sum of positive squares in 3 ways, for example, as 2096907264 + 1743897600 = 45792^2 + 41760^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28035004 + ... + 28035140.

Almost surely, 2^3840804864 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 3840804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256615365).

3840804864 is an abundant number, since it is smaller than the sum of its proper divisors (8672425866).

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

3840804864 is a wasteful number, since it uses less digits than its factorization.

3840804864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 155 counting only the distinct ones).

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

The square root of 3840804864 is about 61974.2274175322. The cubic root of 3840804864 is about 1566.0564563255.

The spelling of 3840804864 in words is "three billion, eight hundred forty million, eight hundred four thousand, eight hundred sixty-four".