381159680 has 216 divisors, whose sum is σ = 1056960576. Its totient is φ = 131338240.

The previous prime is 381159679. The next prime is 381159683. The reversal of 381159680 is 86951183.

381159680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (381159683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3562187 + ... + 3562293.

It is an arithmetic number, because the mean of its divisors is an integer number (4893336).

Almost surely, 2^381159680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528480288).

381159680 is an abundant number, since it is smaller than the sum of its proper divisors (675800896).

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

381159680 is a wasteful number, since it uses less digits than its factorization.

381159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 381159680 is about 19523.3111945694. The cubic root of 381159680 is about 725.0517156926.

It can be divided in two parts, 381 and 159680, that added together give a palindrome (160061).

The spelling of 381159680 in words is "three hundred eighty-one million, one hundred fifty-nine thousand, six hundred eighty".