381642048 has 84 divisors (see below), whose sum is σ = 1107887040. Its totient is φ = 125588736.

The previous prime is 381641987. The next prime is 381642049. The reversal of 381642048 is 840246183.

381642048 is a `hidden beast` number, since 3 + 8 + 1 + 642 + 0 + 4 + 8 = 666.

381642048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381642049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41311 + ... + 49697.

Almost surely, 2^381642048 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 381642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553943520).

381642048 is an abundant number, since it is smaller than the sum of its proper divisors (726244992).

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

381642048 is a wasteful number, since it uses less digits than its factorization.

381642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 381642048 is about 19535.6609307185. The cubic root of 381642048 is about 725.3574443518.

The spelling of 381642048 in words is "three hundred eighty-one million, six hundred forty-two thousand, forty-eight".