380618880 has 128 divisors (see below), whose sum is σ = 1222922880. Its totient is φ = 100687872.

The previous prime is 380618813. The next prime is 380618897. The reversal of 380618880 is 88816083.

It is a happy number.

380618880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262317 + ... + 263763.

It is an arithmetic number, because the mean of its divisors is an integer number (9554085).

Almost surely, 2^380618880 is an apocalyptic number.

380618880 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 380618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611461440).

380618880 is an abundant number, since it is smaller than the sum of its proper divisors (842304000).

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

380618880 is a wasteful number, since it uses less digits than its factorization.

380618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 380618880 is about 19509.4561687403. The cubic root of 380618880 is about 724.7086455138.

The spelling of 380618880 in words is "three hundred eighty million, six hundred eighteen thousand, eight hundred eighty".