384966975120 has 960 divisors, whose sum is σ = 1597037783040. Its totient is φ = 75866112000.

The previous prime is 384966975119. The next prime is 384966975121. The reversal of 384966975120 is 21579669483.

It is an interprime number because it is at equal distance from previous prime (384966975119) and next prime (384966975121).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (384966975121) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 137437720 + ... + 137440520.

It is an arithmetic number, because the mean of its divisors is an integer number (1663581024).

It is a 1-persistent number, because it is pandigital, but 2⋅384966975120 = 769933950240 is not.

Almost surely, 2^384966975120 is an apocalyptic number.

384966975120 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 384966975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798518891520).

384966975120 is an abundant number, since it is smaller than the sum of its proper divisors (1212070807920).

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

384966975120 is a wasteful number, since it uses less digits than its factorization.

384966975120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 384966975120 in words is "three hundred eighty-four billion, nine hundred sixty-six million, nine hundred seventy-five thousand, one hundred twenty".