380188080 has 320 divisors, whose sum is σ = 1383661440. Its totient is φ = 97044480.

The previous prime is 380188079. The next prime is 380188093. The reversal of 380188080 is 80881083.

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 63 ways as a sum of consecutive naturals, for example, 7173334 + ... + 7173386.

It is an arithmetic number, because the mean of its divisors is an integer number (4323942).

Almost surely, 2^380188080 is an apocalyptic number.

380188080 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 380188080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691830720).

380188080 is an abundant number, since it is smaller than the sum of its proper divisors (1003473360).

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

380188080 is an equidigital number, since it uses as much as digits as its factorization.

380188080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 380188080 is about 19498.4122430520. The cubic root of 380188080 is about 724.4351240083.

The spelling of 380188080 in words is "three hundred eighty million, one hundred eighty-eight thousand, eighty".