382723941600 has 2304 divisors, whose sum is σ = 1921796997120. Its totient is φ = 70917120000.

The previous prime is 382723941571. The next prime is 382723941617. The reversal of 382723941600 is 6149327283.

382723941600 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 2 + 39 + 4 + 1 + 600 = 666.

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

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 670269315 + ... + 670269885.

It is an arithmetic number, because the mean of its divisors is an integer number (834113280).

Almost surely, 2^382723941600 is an apocalyptic number.

382723941600 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 382723941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960898498560).

382723941600 is an abundant number, since it is smaller than the sum of its proper divisors (1539073055520).

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

382723941600 is a wasteful number, since it uses less digits than its factorization.

382723941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 382723941600 in words is "three hundred eighty-two billion, seven hundred twenty-three million, nine hundred forty-one thousand, six hundred".