381633978600 has 672 divisors, whose sum is σ = 1529614152000. Its totient is φ = 86701777920.

The previous prime is 381633978581. The next prime is 381633978637. The reversal of 381633978600 is 6879336183.

381633978600 is a `hidden beast` number, since 38 + 163 + 397 + 8 + 60 + 0 = 666.

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

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 167 ways as a sum of consecutive naturals, for example, 182686356 + ... + 182688444.

Almost surely, 2^381633978600 is an apocalyptic number.

381633978600 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 381633978600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764807076000).

381633978600 is an abundant number, since it is smaller than the sum of its proper divisors (1147980173400).

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

381633978600 is a wasteful number, since it uses less digits than its factorization.

381633978600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 381633978600 in words is "three hundred eighty-one billion, six hundred thirty-three million, nine hundred seventy-eight thousand, six hundred".