381685824000 has 960 divisors, whose sum is σ = 1527984881280. Its totient is φ = 93881548800.

The previous prime is 381685823993. The next prime is 381685824029. The reversal of 381685824000 is 428586183.

381685824000 is a `hidden beast` number, since 3 + 8 + 1 + 68 + 582 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292031347 + ... + 292032653.

It is an arithmetic number, because the mean of its divisors is an integer number (1591650918).

Almost surely, 2^381685824000 is an apocalyptic number.

381685824000 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 381685824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763992440640).

381685824000 is an abundant number, since it is smaller than the sum of its proper divisors (1146299057280).

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

381685824000 is a wasteful number, since it uses less digits than its factorization.

381685824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 381685824000 in words is "three hundred eighty-one billion, six hundred eighty-five million, eight hundred twenty-four thousand".