381077568 has 112 divisors (see below), whose sum is σ = 1134221760. Its totient is φ = 125448192.

The previous prime is 381077563. The next prime is 381077569. The reversal of 381077568 is 865770183.

381077568 is a `hidden beast` number, since 3 + 8 + 10 + 77 + 568 = 666.

It is a super-2 number, since 2×381077568² = 290440225665589248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381077563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142096 + ... + 144752.

It is an arithmetic number, because the mean of its divisors is an integer number (10126980).

Almost surely, 2^381077568 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 381077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567110880).

381077568 is an abundant number, since it is smaller than the sum of its proper divisors (753144192).

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

381077568 is a wasteful number, since it uses less digits than its factorization.

381077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2761 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 381077568 is about 19521.2081593328. The cubic root of 381077568 is about 724.9996467695. Note that the first 3 decimals are identical.

The spelling of 381077568 in words is "three hundred eighty-one million, seventy-seven thousand, five hundred sixty-eight".