384897832200 has 324 divisors, whose sum is σ = 1504374580215. Its totient is φ = 87934533120.

The previous prime is 384897832199. The next prime is 384897832219. The reversal of 384897832200 is 2238798483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 298437134436 + 86460697764 = 546294^2 + 294042^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=438690.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 184248756 + ... + 184250844.

Almost surely, 2^384897832200 is an apocalyptic number.

384897832200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384897832200

384897832200 is an abundant number, since it is smaller than the sum of its proper divisors (1119476748015).

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

384897832200 is a wasteful number, since it uses less digits than its factorization.

384897832200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 384897832200 in words is "three hundred eighty-four billion, eight hundred ninety-seven million, eight hundred thirty-two thousand, two hundred".