381320576 has 128 divisors (see below), whose sum is σ = 984748800. Its totient is φ = 142829568.

The previous prime is 381320573. The next prime is 381320579. The reversal of 381320576 is 675023183.

It is an interprime number because it is at equal distance from previous prime (381320573) and next prime (381320579).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381320573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220451 + ... + 222173.

It is an arithmetic number, because the mean of its divisors is an integer number (7693350).

Almost surely, 2^381320576 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 381320576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492374400).

381320576 is an abundant number, since it is smaller than the sum of its proper divisors (603428224).

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

381320576 is a wasteful number, since it uses less digits than its factorization.

381320576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 381320576 is about 19527.4313723029. The cubic root of 381320576 is about 725.1537215064.

It can be divided in two parts, 3813 and 20576, that added together give a cube (24389 = 29³).

The spelling of 381320576 in words is "three hundred eighty-one million, three hundred twenty thousand, five hundred seventy-six".