381078784 has 54 divisors (see below), whose sum is σ = 786505650. Its totient is φ = 184273920.

The previous prime is 381078767. The next prime is 381078787. The reversal of 381078784 is 487870183.

381078784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 301369600 + 79709184 = 17360^2 + 8928^2 .

It is a super-2 number, since 2×381078784² = 290442079229837312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381078787) 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, 245242 + ... + 246790.

Almost surely, 2^381078784 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 381078784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393252825).

381078784 is an abundant number, since it is smaller than the sum of its proper divisors (405426866).

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

381078784 is an equidigital number, since it uses as much as digits as its factorization.

381078784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The square root of 381078784 is about 19521.2393049212. The cubic root of 381078784 is about 725.0004179149. Note that the first 3 decimals are identical.

The spelling of 381078784 in words is "three hundred eighty-one million, seventy-eight thousand, seven hundred eighty-four".