3862838448 has 120 divisors (see below), whose sum is σ = 12376136448. Its totient is φ = 1101776256.

The previous prime is 3862838381. The next prime is 3862838459. The reversal of 3862838448 is 8448382683.

3862838448 is a `hidden beast` number, since 3 + 8 + 628 + 3 + 8 + 4 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3862838394 and 3862838403.

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, 649215 + ... + 655137.

Almost surely, 2^3862838448 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 3862838448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188068224).

3862838448 is an abundant number, since it is smaller than the sum of its proper divisors (8513298000).

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

3862838448 is a wasteful number, since it uses less digits than its factorization.

3862838448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6582 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 3862838448 is about 62151.7372886712. The cubic root of 3862838448 is about 1569.0454186102.

The spelling of 3862838448 in words is "three billion, eight hundred sixty-two million, eight hundred thirty-eight thousand, four hundred forty-eight".