381555876200 has 96 divisors (see below), whose sum is σ = 890091077400. Its totient is φ = 152111554560.

The previous prime is 381555876197. The next prime is 381555876211. The reversal of 381555876200 is 2678555183.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 57697000804 + 323858875396 = 240202^2 + 569086^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118900196 + ... + 118903404.

Almost surely, 2^381555876200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381555876200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445045538700).

381555876200 is an abundant number, since it is smaller than the sum of its proper divisors (508535201200).

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

381555876200 is a wasteful number, since it uses less digits than its factorization.

381555876200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 50.

The spelling of 381555876200 in words is "three hundred eighty-one billion, five hundred fifty-five million, eight hundred seventy-six thousand, two hundred".