381892807296 has 1280 divisors, whose sum is σ = 1576490065920. Its totient is φ = 88534425600.

The previous prime is 381892807279. The next prime is 381892807301. The reversal of 381892807296 is 692708298183.

381892807296 is a `hidden beast` number, since 381 + 8 + 92 + 80 + 7 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 321728815 + ... + 321730001.

It is an arithmetic number, because the mean of its divisors is an integer number (1231632864).

Almost surely, 2^381892807296 is an apocalyptic number.

381892807296 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 381892807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788245032960).

381892807296 is an abundant number, since it is smaller than the sum of its proper divisors (1194597258624).

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

381892807296 is a wasteful number, since it uses less digits than its factorization.

381892807296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 381892807296 in words is "three hundred eighty-one billion, eight hundred ninety-two million, eight hundred seven thousand, two hundred ninety-six".