381666048 has 288 divisors, whose sum is σ = 1186762752. Its totient is φ = 108134400.

The previous prime is 381666037. The next prime is 381666059. The reversal of 381666048 is 840666183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (381666037) and next prime (381666059).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9308908 + ... + 9308948.

It is an arithmetic number, because the mean of its divisors is an integer number (4120704).

Almost surely, 2^381666048 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 381666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593381376).

381666048 is an abundant number, since it is smaller than the sum of its proper divisors (805096704).

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

381666048 is a wasteful number, since it uses less digits than its factorization.

381666048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 381666048 is about 19536.2751823371. The cubic root of 381666048 is about 725.3726490127.

The spelling of 381666048 in words is "three hundred eighty-one million, six hundred sixty-six thousand, forty-eight".