381168016 has 40 divisors (see below), whose sum is σ = 794808504. Its totient is φ = 176424960.

The previous prime is 381168001. The next prime is 381168017. The reversal of 381168016 is 610861183.

It can be written as a sum of positive squares in 4 ways, for example, as 27878400 + 353289616 = 5280^2 + 18796^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (381168017) 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, 5106 + ... + 28078.

Almost surely, 2^381168016 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 381168016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397404252).

381168016 is an abundant number, since it is smaller than the sum of its proper divisors (413640488).

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

381168016 is a wasteful number, since it uses less digits than its factorization.

381168016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23059 (or 23053 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 381168016 is about 19523.5246817781. The cubic root of 381168016 is about 725.0570013051.

The spelling of 381168016 in words is "three hundred eighty-one million, one hundred sixty-eight thousand, sixteen".