381886848 has 384 divisors, whose sum is σ = 1374796800. Its totient is φ = 99348480.

The previous prime is 381886847. The next prime is 381886849. The reversal of 381886848 is 848688183.

It is an interprime number because it is at equal distance from previous prime (381886847) and next prime (381886849).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 381886794 and 381886803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381886847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5378653 + ... + 5378723.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^381886848 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 381886848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

381886848 is an abundant number, since it is smaller than the sum of its proper divisors (992909952).

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

381886848 is a wasteful number, since it uses less digits than its factorization.

381886848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 381886848 is about 19541.9253913221. The cubic root of 381886848 is about 725.5125019951.

The spelling of 381886848 in words is "three hundred eighty-one million, eight hundred eighty-six thousand, eight hundred forty-eight".