384181790976 has 243 divisors, whose sum is σ = 1141708873851. Its totient is φ = 124242481152.

The previous prime is 384181790963. The next prime is 384181790999. The reversal of 384181790976 is 679097181483.

The square root of 384181790976 is 619824.

It is a perfect power (a square), and thus also a powerful number.

384181790976 is a `hidden beast` number, since 38 + 418 + 17 + 90 + 97 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 158913849600 + 225267941376 = 398640^2 + 474624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1100807250 + ... + 1100807598.

Almost surely, 2^384181790976 is an apocalyptic number.

384181790976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

384181790976 is the 619824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384181790976

384181790976 is an abundant number, since it is smaller than the sum of its proper divisors (757527082875).

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

384181790976 is an frugal number, since it uses more digits than its factorization.

384181790976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 384181790976 in words is "three hundred eighty-four billion, one hundred eighty-one million, seven hundred ninety thousand, nine hundred seventy-six".