381833776800 has 864 divisors, whose sum is σ = 1634209903872. Its totient is φ = 81895587840.

The previous prime is 381833776787. The next prime is 381833776801. The reversal of 381833776800 is 8677338183.

381833776800 is a `hidden beast` number, since 38 + 183 + 377 + 68 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (381833776801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 525218037 + ... + 525218763.

It is an arithmetic number, because the mean of its divisors is an integer number (1891446648).

Almost surely, 2^381833776800 is an apocalyptic number.

381833776800 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 381833776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817104951936).

381833776800 is an abundant number, since it is smaller than the sum of its proper divisors (1252376127072).

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

381833776800 is a wasteful number, since it uses less digits than its factorization.

381833776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 381833776800 in words is "three hundred eighty-one billion, eight hundred thirty-three million, seven hundred seventy-six thousand, eight hundred".