381500383680 has 1680 divisors, whose sum is σ = 1603606688640. Its totient is φ = 85709684736.

The previous prime is 381500383651. The next prime is 381500383709. The reversal of 381500383680 is 86383005183.

381500383680 is a `hidden beast` number, since 3 + 8 + 1 + 500 + 3 + 83 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (381500383651) and next prime (381500383709).

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 239 ways as a sum of consecutive naturals, for example, 3500003466 + ... + 3500003574.

Almost surely, 2^381500383680 is an apocalyptic number.

381500383680 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 381500383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801803344320).

381500383680 is an abundant number, since it is smaller than the sum of its proper divisors (1222106304960).

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

381500383680 is a wasteful number, since it uses less digits than its factorization.

381500383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 381500383680 in words is "three hundred eighty-one billion, five hundred million, three hundred eighty-three thousand, six hundred eighty".