381265320 has 128 divisors (see below), whose sum is σ = 1197504000. Its totient is φ = 96983040.

The previous prime is 381265259. The next prime is 381265327. The reversal of 381265320 is 23562183.

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 (381265327) 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, 309105 + ... + 310335.

It is an arithmetic number, because the mean of its divisors is an integer number (9355500).

Almost surely, 2^381265320 is an apocalyptic number.

381265320 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 381265320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752000).

381265320 is an abundant number, since it is smaller than the sum of its proper divisors (816238680).

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

381265320 is a wasteful number, since it uses less digits than its factorization.

381265320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 381265320 is about 19526.0164908258. The cubic root of 381265320 is about 725.1186932108.

The spelling of 381265320 in words is "three hundred eighty-one million, two hundred sixty-five thousand, three hundred twenty".