384904396800 has 1632 divisors, whose sum is σ = 1778706869760. Its totient is φ = 79272345600.

The previous prime is 384904396769. The next prime is 384904396801. The reversal of 384904396800 is 8693409483.

It is a happy number.

384904396800 is a `hidden beast` number, since 38 + 490 + 43 + 9 + 6 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384904396801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3406233544 + ... + 3406233656.

Almost surely, 2^384904396800 is an apocalyptic number.

384904396800 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 384904396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889353434880).

384904396800 is an abundant number, since it is smaller than the sum of its proper divisors (1393802472960).

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

384904396800 is a wasteful number, since it uses less digits than its factorization.

384904396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 384904396800 in words is "three hundred eighty-four billion, nine hundred four million, three hundred ninety-six thousand, eight hundred".