384449601600 has 189 divisors, whose sum is σ = 1366689160317. Its totient is φ = 102500052480.

The previous prime is 384449601593. The next prime is 384449601631. The reversal of 384449601600 is 6106944483.

The square root of 384449601600 is 620040.

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

384449601600 is a `hidden beast` number, since 38 + 4 + 4 + 4 + 9 + 6 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138401856576 + 246047745024 = 372024^2 + 496032^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 74402217 + ... + 74407383.

Almost surely, 2^384449601600 is an apocalyptic number.

384449601600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

384449601600 is the 620040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384449601600

384449601600 is an abundant number, since it is smaller than the sum of its proper divisors (982239558717).

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

384449601600 is an frugal number, since it uses more digits than its factorization.

384449601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10362 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

It can be divided in two parts, 384449 and 601600, that added together give a square (986049 = 993²).

The spelling of 384449601600 in words is "three hundred eighty-four billion, four hundred forty-nine million, six hundred one thousand, six hundred".