381927168 has 324 divisors, whose sum is σ = 1363143600. Its totient is φ = 102187008.

The previous prime is 381927131. The next prime is 381927179. The reversal of 381927168 is 861729183.

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

Its product of digits (145152) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1919133 + ... + 1919331.

Almost surely, 2^381927168 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 381927168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681571800).

381927168 is an abundant number, since it is smaller than the sum of its proper divisors (981216432).

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

381927168 is a wasteful number, since it uses less digits than its factorization.

381927168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 381927168 is about 19542.9569922261. The cubic root of 381927168 is about 725.5380345447.

The spelling of 381927168 in words is "three hundred eighty-one million, nine hundred twenty-seven thousand, one hundred sixty-eight".