381319785 has 64 divisors (see below), whose sum is σ = 845199360. Its totient is φ = 158466240.

The previous prime is 381319777. The next prime is 381319801. The reversal of 381319785 is 587913183.

381319785 is a `hidden beast` number, since 381 + 3 + 197 + 85 = 666.

It is not a de Polignac number, because 381319785 - 2³ = 381319777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 381319785.

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 63 ways as a sum of consecutive naturals, for example, 7947 + ... + 28736.

It is an arithmetic number, because the mean of its divisors is an integer number (13206240).

Almost surely, 2^381319785 is an apocalyptic number.

381319785 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

381319785 is an abundant number, since it is smaller than the sum of its proper divisors (463879575).

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

381319785 is a wasteful number, since it uses less digits than its factorization.

381319785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36715 (or 36709 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 381319785 is about 19527.4111187326. The cubic root of 381319785 is about 725.1532200937.

The spelling of 381319785 in words is "three hundred eighty-one million, three hundred nineteen thousand, seven hundred eighty-five".