384398784000 has 2240 divisors, whose sum is σ = 1808486963712. Its totient is φ = 79128576000.

The previous prime is 384398783983. The next prime is 384398784017. The reversal of 384398784000 is 487893483.

384398784000 is a `hidden beast` number, since 3 + 84 + 3 + 98 + 78 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (384398783983) and next prime (384398784017).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3592511947 + ... + 3592512053.

Almost surely, 2^384398784000 is an apocalyptic number.

384398784000 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 384398784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904243481856).

384398784000 is an abundant number, since it is smaller than the sum of its proper divisors (1424088179712).

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

384398784000 is an equidigital number, since it uses as much as digits as its factorization.

384398784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 135 counting only the distinct ones).

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

The spelling of 384398784000 in words is "three hundred eighty-four billion, three hundred ninety-eight million, seven hundred eighty-four thousand".