381008160 has 144 divisors (see below), whose sum is σ = 1400273784. Its totient is φ = 93782016.

The previous prime is 381008141. The next prime is 381008161. The reversal of 381008160 is 61800183.

It can be written as a sum of positive squares in 4 ways, for example, as 213978384 + 167029776 = 14628^2 + 12924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (381008161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8544 + ... + 28896.

Almost surely, 2^381008160 is an apocalyptic number.

381008160 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 381008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700136892).

381008160 is an abundant number, since it is smaller than the sum of its proper divisors (1019265624).

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

381008160 is a wasteful number, since it uses less digits than its factorization.

381008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20387 (or 20376 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 381008160 is about 19519.4303195559. The cubic root of 381008160 is about 724.9556278828.

The spelling of 381008160 in words is "three hundred eighty-one million, eight thousand, one hundred sixty".