384933384900 has 81 divisors (see below), whose sum is σ = 1206610653703. Its totient is φ = 102643939200.

The previous prime is 384933384859. The next prime is 384933384937. The reversal of 384933384900 is 9483339483.

The square root of 384933384900 is 620430.

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

384933384900 is a `hidden beast` number, since 38 + 4 + 93 + 3 + 38 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130409098884 + 254524286016 = 361122^2 + 504504^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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, 18602560 + ... + 18623240.

Almost surely, 2^384933384900 is an apocalyptic number.

384933384900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

384933384900 is the 620430-th square number.

It is an amenable number.

384933384900 is an abundant number, since it is smaller than the sum of its proper divisors (821677268803).

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

384933384900 is an equidigital number, since it uses as much as digits as its factorization.

384933384900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41382 (or 20691 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 384933384900 in words is "three hundred eighty-four billion, nine hundred thirty-three million, three hundred eighty-four thousand, nine hundred".