380727984 has 160 divisors (see below), whose sum is σ = 1223921664. Its totient is φ = 99302400.

The previous prime is 380727973. The next prime is 380727989. The reversal of 380727984 is 489727083.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (380727989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440737 + ... + 441599.

Almost surely, 2^380727984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380727984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611960832).

380727984 is an abundant number, since it is smaller than the sum of its proper divisors (843193680).

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

380727984 is a wasteful number, since it uses less digits than its factorization.

380727984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 380727984 is about 19512.2521508923. The cubic root of 380727984 is about 724.7778845544. Note that the first 3 decimals are identical.

It can be divided in two parts, 38072 and 7984, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 380727984 in words is "three hundred eighty million, seven hundred twenty-seven thousand, nine hundred eighty-four".