381281576 has 96 divisors (see below), whose sum is σ = 837795960. Its totient is φ = 161980416.

The previous prime is 381281561. The next prime is 381281581. The reversal of 381281576 is 675182183.

It can be written as a sum of positive squares in 12 ways, for example, as 2979076 + 378302500 = 1726^2 + 19450^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1217996 + ... + 1218308.

Almost surely, 2^381281576 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 381281576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418897980).

381281576 is an abundant number, since it is smaller than the sum of its proper divisors (456514384).

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

381281576 is a wasteful number, since it uses less digits than its factorization.

381281576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 398 counting only the distinct ones).

The product of its digits is 80640, while the sum is 41.

The square root of 381281576 is about 19526.4327515294. The cubic root of 381281576 is about 725.1289986869.

The spelling of 381281576 in words is "three hundred eighty-one million, two hundred eighty-one thousand, five hundred seventy-six".