381475584000 has 1728 divisors, whose sum is σ = 1666246982400. Its totient is φ = 83607552000.

The previous prime is 381475583999. The next prime is 381475584059. The reversal of 381475584000 is 485574183.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 3499775946 + ... + 3499776054.

It is an arithmetic number, because the mean of its divisors is an integer number (964263300).

Almost surely, 2^381475584000 is an apocalyptic number.

381475584000 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 381475584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833123491200).

381475584000 is an abundant number, since it is smaller than the sum of its proper divisors (1284771398400).

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

381475584000 is a wasteful number, since it uses less digits than its factorization.

381475584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 381475584000 in words is "three hundred eighty-one billion, four hundred seventy-five million, five hundred eighty-four thousand".