380397984 has 72 divisors (see below), whose sum is σ = 1060815168. Its totient is φ = 119331840.

The previous prime is 380397973. The next prime is 380398019. The reversal of 380397984 is 489793083.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 11 ways as a sum of consecutive naturals, for example, 20889 + ... + 34599.

It is an arithmetic number, because the mean of its divisors is an integer number (14733544).

Almost surely, 2^380397984 is an apocalyptic number.

380397984 is a gapful number since it is divisible by the number (34) 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 380397984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530407584).

380397984 is an abundant number, since it is smaller than the sum of its proper divisors (680417184).

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

380397984 is a wasteful number, since it uses less digits than its factorization.

380397984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13758 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 380397984 is about 19503.7940924324. The cubic root of 380397984 is about 724.5684210632.

The spelling of 380397984 in words is "three hundred eighty million, three hundred ninety-seven thousand, nine hundred eighty-four".