381633870600 has 384 divisors, whose sum is σ = 1331183548800. Its totient is φ = 100483891200.

The previous prime is 381633870581. The next prime is 381633870649. The reversal of 381633870600 is 6078336183.

381633870600 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 3 + 38 + 7 + 0 + 600 = 666.

It is a super-2 number, since 2×381633870600² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433182160 + ... + 433183040.

It is an arithmetic number, because the mean of its divisors is an integer number (3466623825).

Almost surely, 2^381633870600 is an apocalyptic number.

381633870600 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 381633870600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665591774400).

381633870600 is an abundant number, since it is smaller than the sum of its proper divisors (949549678200).

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

381633870600 is a wasteful number, since it uses less digits than its factorization.

381633870600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 381633870600 in words is "three hundred eighty-one billion, six hundred thirty-three million, eight hundred seventy thousand, six hundred".