384484939776 has 864 divisors, whose sum is σ = 1370284231680. Its totient is φ = 103345127424.

The previous prime is 384484939747. The next prime is 384484939781. The reversal of 384484939776 is 677939484483.

It is a happy number.

384484939776 is a `hidden beast` number, since 3 + 8 + 4 + 48 + 493 + 97 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1724147601 + ... + 1724147823.

It is an arithmetic number, because the mean of its divisors is an integer number (1585977120).

Almost surely, 2^384484939776 is an apocalyptic number.

384484939776 is a gapful number since it is divisible by the number (36) 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 384484939776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685142115840).

384484939776 is an abundant number, since it is smaller than the sum of its proper divisors (985799291904).

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

384484939776 is a wasteful number, since it uses less digits than its factorization.

384484939776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 341 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 384484939776 in words is "three hundred eighty-four billion, four hundred eighty-four million, nine hundred thirty-nine thousand, seven hundred seventy-six".