380981160 has 384 divisors, whose sum is σ = 1523808000. Its totient is φ = 80621568.

The previous prime is 380981147. The next prime is 380981189. The reversal of 380981160 is 61189083.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3495186 + ... + 3495294.

It is an arithmetic number, because the mean of its divisors is an integer number (3968250).

Almost surely, 2^380981160 is an apocalyptic number.

380981160 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 380981160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761904000).

380981160 is an abundant number, since it is smaller than the sum of its proper divisors (1142826840).

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

380981160 is a wasteful number, since it uses less digits than its factorization.

380981160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 380981160 is about 19518.7386887575. The cubic root of 380981160 is about 724.9385029090.

The spelling of 380981160 in words is "three hundred eighty million, nine hundred eighty-one thousand, one hundred sixty".