381381888 has 72 divisors (see below), whose sum is σ = 1021820128. Its totient is φ = 126277632.

The previous prime is 381381887. The next prime is 381381941. The reversal of 381381888 is 888183183.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381381881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118995 + ... + 122157.

Almost surely, 2^381381888 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 381381888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510910064).

381381888 is an abundant number, since it is smaller than the sum of its proper divisors (640438240).

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

381381888 is a wasteful number, since it uses less digits than its factorization.

381381888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3325 counting only the distinct ones).

The product of its digits is 294912, while the sum is 48.

The square root of 381381888 is about 19529.0012033386. The cubic root of 381381888 is about 725.1925849065.

The spelling of 381381888 in words is "three hundred eighty-one million, three hundred eighty-one thousand, eight hundred eighty-eight".