381876144 has 80 divisors (see below), whose sum is σ = 1065265152. Its totient is φ = 117183744.

The previous prime is 381876119. The next prime is 381876179. The reversal of 381876144 is 441678183.

It is a junction number, because it is equal to n+sod(n) for n = 381876096 and 381876105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350769 + ... + 351855.

Almost surely, 2^381876144 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 381876144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532632576).

381876144 is an abundant number, since it is smaller than the sum of its proper divisors (683389008).

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

381876144 is a wasteful number, since it uses less digits than its factorization.

381876144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1668 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 381876144 is about 19541.6515166963. The cubic root of 381876144 is about 725.5057234093.

The spelling of 381876144 in words is "three hundred eighty-one million, eight hundred seventy-six thousand, one hundred forty-four".