380684406528 has 1152 divisors, whose sum is σ = 1320697405440. Its totient is φ = 108785369088.

The previous prime is 380684406523. The next prime is 380684406539. The reversal of 380684406528 is 825604486083.

380684406528 is a `hidden beast` number, since 3 + 80 + 68 + 440 + 65 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380684406523) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8099668201 + ... + 8099668247.

It is an arithmetic number, because the mean of its divisors is an integer number (1146438720).

Almost surely, 2^380684406528 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 380684406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660348702720).

380684406528 is an abundant number, since it is smaller than the sum of its proper divisors (940012998912).

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

380684406528 is an equidigital number, since it uses as much as digits as its factorization.

380684406528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 380684406528 in words is "three hundred eighty billion, six hundred eighty-four million, four hundred six thousand, five hundred twenty-eight".