386881505280 has 576 divisors, whose sum is σ = 1399833489600. Its totient is φ = 102478970880.

The previous prime is 386881505261. The next prime is 386881505281. The reversal of 386881505280 is 82505188683.

It is a happy number.

386881505280 is a `hidden beast` number, since 3 + 8 + 68 + 8 + 1 + 50 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (386881505281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450385491 + ... + 450386349.

It is an arithmetic number, because the mean of its divisors is an integer number (2430266475).

Almost surely, 2^386881505280 is an apocalyptic number.

386881505280 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 386881505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699916744800).

386881505280 is an abundant number, since it is smaller than the sum of its proper divisors (1012951984320).

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

386881505280 is an equidigital number, since it uses as much as digits as its factorization.

386881505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 386881505280 in words is "three hundred eighty-six billion, eight hundred eighty-one million, five hundred five thousand, two hundred eighty".