380572320 has 96 divisors (see below), whose sum is σ = 1205995392. Its totient is φ = 100877312.

The previous prime is 380572303. The next prime is 380572327. The reversal of 380572320 is 23275083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (380572327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 80749 + ... + 85331.

It is an arithmetic number, because the mean of its divisors is an integer number (12562452).

Almost surely, 2^380572320 is an apocalyptic number.

380572320 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 380572320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602997696).

380572320 is an abundant number, since it is smaller than the sum of its proper divisors (825423072).

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

380572320 is a wasteful number, since it uses less digits than its factorization.

380572320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 380572320 is about 19508.2628647453. The cubic root of 380572320 is about 724.6790938089.

The spelling of 380572320 in words is "three hundred eighty million, five hundred seventy-two thousand, three hundred twenty".