381536157600 has 864 divisors, whose sum is σ = 1573127438400. Its totient is φ = 88957440000.

The previous prime is 381536157539. The next prime is 381536157601. The reversal of 381536157600 is 6751635183.

381536157600 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 36 + 1 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (381536157601) 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, 69354850 + ... + 69360350.

It is an arithmetic number, because the mean of its divisors is an integer number (1820749350).

Almost surely, 2^381536157600 is an apocalyptic number.

381536157600 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 381536157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786563719200).

381536157600 is an abundant number, since it is smaller than the sum of its proper divisors (1191591280800).

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

381536157600 is a wasteful number, since it uses less digits than its factorization.

381536157600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 381536157600 in words is "three hundred eighty-one billion, five hundred thirty-six million, one hundred fifty-seven thousand, six hundred".