381874824 has 80 divisors (see below), whose sum is σ = 1072861020. Its totient is φ = 126904320.

The previous prime is 381874793. The next prime is 381874853. The reversal of 381874824 is 428478183.

It can be written as a sum of positive squares in 2 ways, for example, as 323352324 + 58522500 = 17982^2 + 7650^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 381874824.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 279904 + ... + 281264.

Almost surely, 2^381874824 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 381874824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536430510).

381874824 is an abundant number, since it is smaller than the sum of its proper divisors (690986196).

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

381874824 is a wasteful number, since it uses less digits than its factorization.

381874824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1799 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 381874824 is about 19541.6177426538. The cubic root of 381874824 is about 725.5048874762.

The spelling of 381874824 in words is "three hundred eighty-one million, eight hundred seventy-four thousand, eight hundred twenty-four".