380160000 has 480 divisors, whose sum is σ = 1535133600. Its totient is φ = 92160000.

The previous prime is 380159987. The next prime is 380160047. The reversal of 380160000 is 61083.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34559995 + ... + 34560005.

It is an arithmetic number, because the mean of its divisors is an integer number (3198195).

Almost surely, 2^380160000 is an apocalyptic number.

380160000 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 380160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767566800).

380160000 is an abundant number, since it is smaller than the sum of its proper divisors (1154973600).

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

380160000 is an equidigital number, since it uses as much as digits as its factorization.

380160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 380160000 is about 19497.6921711263. The cubic root of 380160000 is about 724.4172884157.

The spelling of 380160000 in words is "three hundred eighty million, one hundred sixty thousand".