384389898624 has 640 divisors, whose sum is σ = 1286372102400. Its totient is φ = 113350938624.

The previous prime is 384389898611. The next prime is 384389898649. The reversal of 384389898624 is 426898983483.

384389898624 is a `hidden beast` number, since 3 + 8 + 438 + 98 + 9 + 86 + 24 = 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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194824102 + ... + 194826074.

It is an arithmetic number, because the mean of its divisors is an integer number (2009956410).

Almost surely, 2^384389898624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384389898624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643186051200).

384389898624 is an abundant number, since it is smaller than the sum of its proper divisors (901982203776).

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

384389898624 is a wasteful number, since it uses less digits than its factorization.

384389898624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2063 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 384389898624 in words is "three hundred eighty-four billion, three hundred eighty-nine million, eight hundred ninety-eight thousand, six hundred twenty-four".