382541424876 has 288 divisors, whose sum is σ = 1117577260800. Its totient is φ = 109342379520.

The previous prime is 382541424871. The next prime is 382541424877. The reversal of 382541424876 is 678424145283.

382541424876 is a `hidden beast` number, since 3 + 8 + 2 + 541 + 4 + 24 + 8 + 76 = 666.

382541424876 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (382541424871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299561950 + ... + 299563226.

It is an arithmetic number, because the mean of its divisors is an integer number (3880476600).

Almost surely, 2^382541424876 is an apocalyptic number.

382541424876 is a gapful number since it is divisible by the number (36) 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 382541424876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558788630400).

382541424876 is an abundant number, since it is smaller than the sum of its proper divisors (735035835924).

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

382541424876 is a wasteful number, since it uses less digits than its factorization.

382541424876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1944 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 382541424876 in words is "three hundred eighty-two billion, five hundred forty-one million, four hundred twenty-four thousand, eight hundred seventy-six".