3840463248 has 160 divisors (see below), whose sum is σ = 10512660480. Its totient is φ = 1206627840.

The previous prime is 3840463213. The next prime is 3840463271. The reversal of 3840463248 is 8423640483.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11602443 + ... + 11602773.

It is an arithmetic number, because the mean of its divisors is an integer number (65704128).

Almost surely, 2^3840463248 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 3840463248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256330240).

3840463248 is an abundant number, since it is smaller than the sum of its proper divisors (6672197232).

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

3840463248 is a wasteful number, since it uses less digits than its factorization.

With its successor (3840463249) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (559).

With its successor (3840463249) it forms an eRAP, since the sums of their prime factors are consecutive (565 and 566).

3840463248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 3840463248 is about 61971.4712428227. The cubic root of 3840463248 is about 1566.0100245815.

The spelling of 3840463248 in words is "three billion, eight hundred forty million, four hundred sixty-three thousand, two hundred forty-eight".