384105025080 has 1024 divisors, whose sum is σ = 1610108928000. Its totient is φ = 79427174400.

The previous prime is 384105025079. The next prime is 384105025081. The reversal of 384105025080 is 80520501483.

It is a happy number.

384105025080 is a `hidden beast` number, since 38 + 41 + 0 + 502 + 5 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (384105025079) and next prime (384105025081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384105025081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 912363270 + ... + 912363690.

It is an arithmetic number, because the mean of its divisors is an integer number (1572372000).

Almost surely, 2^384105025080 is an apocalyptic number.

384105025080 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 384105025080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805054464000).

384105025080 is an abundant number, since it is smaller than the sum of its proper divisors (1226003902920).

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

384105025080 is a wasteful number, since it uses less digits than its factorization.

384105025080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 384105025080 in words is "three hundred eighty-four billion, one hundred five million, twenty-five thousand, eighty".