384362850990 has 128 divisors (see below), whose sum is σ = 994104990720. Its totient is φ = 94759999488.

The previous prime is 384362850961. The next prime is 384362850997. The reversal of 384362850990 is 99058263483.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 384362850990.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384362850997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12251364 + ... + 12282696.

It is an arithmetic number, because the mean of its divisors is an integer number (7766445240).

Almost surely, 2^384362850990 is an apocalyptic number.

384362850990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384362850990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497052495360).

384362850990 is an abundant number, since it is smaller than the sum of its proper divisors (609742139730).

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

384362850990 is a wasteful number, since it uses less digits than its factorization.

384362850990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31786.

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 384362850990 in words is "three hundred eighty-four billion, three hundred sixty-two million, eight hundred fifty thousand, nine hundred ninety".