381663360 has 256 divisors, whose sum is σ = 1456560000. Its totient is φ = 93892608.

The previous prime is 381663349. The next prime is 381663371. The reversal of 381663360 is 63366183.

381663360 is a `hidden beast` number, since 3 + 8 + 16 + 633 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (381663349) and next prime (381663371).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223791 + ... + 225489.

Almost surely, 2^381663360 is an apocalyptic number.

381663360 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 381663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728280000).

381663360 is an abundant number, since it is smaller than the sum of its proper divisors (1074896640).

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

381663360 is a wasteful number, since it uses less digits than its factorization.

381663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 381663360 is about 19536.2063871162. The cubic root of 381663360 is about 725.3709461224.

It can be divided in two parts, 3816 and 63360, that added together give a palindrome (67176).

The spelling of 381663360 in words is "three hundred eighty-one million, six hundred sixty-three thousand, three hundred sixty".