381686880 has 192 divisors, whose sum is σ = 1257596928. Its totient is φ = 97198080.

The previous prime is 381686819. The next prime is 381686881. The reversal of 381686880 is 88686183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381686881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1681327 + ... + 1681553.

It is an arithmetic number, because the mean of its divisors is an integer number (6549984).

Almost surely, 2^381686880 is an apocalyptic number.

381686880 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 381686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628798464).

381686880 is an abundant number, since it is smaller than the sum of its proper divisors (875910048).

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

381686880 is a wasteful number, since it uses less digits than its factorization.

381686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 381686880 is about 19536.8083370852. The cubic root of 381686880 is about 725.3858461416.

The spelling of 381686880 in words is "three hundred eighty-one million, six hundred eighty-six thousand, eight hundred eighty".