381161352 has 256 divisors, whose sum is σ = 1219276800. Its totient is φ = 97505280.

The previous prime is 381161329. The next prime is 381161371. The reversal of 381161352 is 253161183.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2742099 + ... + 2742237.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^381161352 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 381161352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

381161352 is an abundant number, since it is smaller than the sum of its proper divisors (838115448).

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

381161352 is a wasteful number, since it uses less digits than its factorization.

381161352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 381161352 is about 19523.3540151276. The cubic root of 381161352 is about 725.0527758648.

The spelling of 381161352 in words is "three hundred eighty-one million, one hundred sixty-one thousand, three hundred fifty-two".