381352896 has 168 divisors, whose sum is σ = 1137605040. Its totient is φ = 122056704.

The previous prime is 381352847. The next prime is 381352913. The reversal of 381352896 is 698253183.

It is a happy number.

381352896 is a `hidden beast` number, since 38 + 1 + 3 + 528 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2204266 + ... + 2204438.

Almost surely, 2^381352896 is an apocalyptic number.

381352896 is a gapful number since it is divisible by the number (36) 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 381352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568802520).

381352896 is an abundant number, since it is smaller than the sum of its proper divisors (756252144).

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

381352896 is a wasteful number, since it uses less digits than its factorization.

381352896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 381352896 is about 19528.2589085663. The cubic root of 381352896 is about 725.1742084734.

The spelling of 381352896 in words is "three hundred eighty-one million, three hundred fifty-two thousand, eight hundred ninety-six".