384362496000 has 1200 divisors, whose sum is σ = 1642762273152. Its totient is φ = 87588864000.

The previous prime is 384362495929. The next prime is 384362496031. The reversal of 384362496000 is 694263483.

384362496000 is a `hidden beast` number, since 3 + 8 + 4 + 36 + 2 + 4 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 79 ways as a sum of consecutive naturals, for example, 1161215835 + ... + 1161216165.

Almost surely, 2^384362496000 is an apocalyptic number.

384362496000 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 384362496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821381136576).

384362496000 is an abundant number, since it is smaller than the sum of its proper divisors (1258399777152).

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

384362496000 is an frugal number, since it uses more digits than its factorization.

384362496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 384362496000 in words is "three hundred eighty-four billion, three hundred sixty-two million, four hundred ninety-six thousand".