384404714496 has 880 divisors, whose sum is σ = 1314682966080. Its totient is φ = 110839726080.

The previous prime is 384404714483. The next prime is 384404714587. The reversal of 384404714496 is 694417404483.

It is a happy number.

384404714496 is a `hidden beast` number, since 3 + 8 + 4 + 40 + 471 + 44 + 96 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1991734176 + ... + 1991734368.

It is an arithmetic number, because the mean of its divisors is an integer number (1493957916).

Almost surely, 2^384404714496 is an apocalyptic number.

384404714496 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 384404714496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657341483040).

384404714496 is an abundant number, since it is smaller than the sum of its proper divisors (930278251584).

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

384404714496 is a wasteful number, since it uses less digits than its factorization.

384404714496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 384404714496 in words is "three hundred eighty-four billion, four hundred four million, seven hundred fourteen thousand, four hundred ninety-six".