3831262848 has 512 divisors, whose sum is σ = 13787136000. Its totient is φ = 1024192512.

The previous prime is 3831262843. The next prime is 3831262931. The reversal of 3831262848 is 8482621383.

3831262848 is a `hidden beast` number, since 3 + 8 + 3 + 12 + 628 + 4 + 8 = 666.

It is a super-2 number, since 2×3831262848² = 29357150020930142208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3831262843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30167361 + ... + 30167487.

It is an arithmetic number, because the mean of its divisors is an integer number (26928000).

Almost surely, 2^3831262848 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 3831262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6893568000).

3831262848 is an abundant number, since it is smaller than the sum of its proper divisors (9955873152).

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

3831262848 is a wasteful number, since it uses less digits than its factorization.

3831262848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 3831262848 is about 61897.1958007792. The cubic root of 3831262848 is about 1564.7584881155.

The spelling of 3831262848 in words is "three billion, eight hundred thirty-one million, two hundred sixty-two thousand, eight hundred forty-eight".