381883920 has 320 divisors, whose sum is σ = 1398767616. Its totient is φ = 85155840.

The previous prime is 381883897. The next prime is 381883939. The reversal of 381883920 is 29388183.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3006897 + ... + 3007023.

Almost surely, 2^381883920 is an apocalyptic number.

381883920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699383808).

381883920 is an abundant number, since it is smaller than the sum of its proper divisors (1016883696).

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

381883920 is a wasteful number, since it uses less digits than its factorization.

381883920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 381883920 is about 19541.8504753260. The cubic root of 381883920 is about 725.5106477757.

The spelling of 381883920 in words is "three hundred eighty-one million, eight hundred eighty-three thousand, nine hundred twenty".