381386304 has 252 divisors, whose sum is σ = 1239418908. Its totient is φ = 111421440.

The previous prime is 381386281. The next prime is 381386309. The reversal of 381386304 is 403683183.

It is a happy number.

381386304 is a `hidden beast` number, since 3 + 8 + 13 + 8 + 630 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159971904 + 221414400 = 12648^2 + 14880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381386309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7195942 + ... + 7195994.

It is an arithmetic number, because the mean of its divisors is an integer number (4918329).

Almost surely, 2^381386304 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 381386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619709454).

381386304 is an abundant number, since it is smaller than the sum of its proper divisors (858032604).

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

381386304 is a wasteful number, since it uses less digits than its factorization.

381386304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 381386304 is about 19529.1142656292. The cubic root of 381386304 is about 725.1953838841.

The spelling of 381386304 in words is "three hundred eighty-one million, three hundred eighty-six thousand, three hundred four".