381779584 has 48 divisors (see below), whose sum is σ = 770922630. Its totient is φ = 188325888.

The previous prime is 381779581. The next prime is 381779603. The reversal of 381779584 is 485977183.

It can be written as a sum of positive squares in 3 ways, for example, as 216913984 + 164865600 = 14728^2 + 12840^2 .

It is not an unprimeable number, because it can be changed into a prime (381779581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1204194 + ... + 1204510.

Almost surely, 2^381779584 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 381779584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385461315).

381779584 is an abundant number, since it is smaller than the sum of its proper divisors (389143046).

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

381779584 is an frugal number, since it uses more digits than its factorization.

381779584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 416 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 52.

The square root of 381779584 is about 19539.1807402460. The cubic root of 381779584 is about 725.4445685565. Note that the first 3 decimals are identical.

The spelling of 381779584 in words is "three hundred eighty-one million, seven hundred seventy-nine thousand, five hundred eighty-four".