381623360 has 112 divisors (see below), whose sum is σ = 998524800. Its totient is φ = 138276864.

The previous prime is 381623353. The next prime is 381623369. The reversal of 381623360 is 63326183.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (381623369) 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, 138476 + ... + 141204.

It is an arithmetic number, because the mean of its divisors is an integer number (8915400).

Almost surely, 2^381623360 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 381623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499262400).

381623360 is an abundant number, since it is smaller than the sum of its proper divisors (616901440).

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

381623360 is a wasteful number, since it uses less digits than its factorization.

381623360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 381623360 is about 19535.1826200832. The cubic root of 381623360 is about 725.3456045478.

The spelling of 381623360 in words is "three hundred eighty-one million, six hundred twenty-three thousand, three hundred sixty".