381360 has 80 divisors (see below), whose sum is σ = 1357056. Its totient is φ = 86784.

The previous prime is 381347. The next prime is 381371. The reversal of 381360 is 63183.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

381360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567 + ... + 1793.

2³⁸¹³⁶⁰ is an apocalyptic number.

381360 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 381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678528).

381360 is an abundant number, since it is smaller than the sum of its proper divisors (975696).

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

381360 is a wasteful number, since it uses less digits than its factorization.

381360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 381360 is about 617.5435207336. The cubic root of 381360 is about 72.5178711394.

It can be divided in two parts, 381 and 360, that added together give a triangular number (741 = T₃₈).

The spelling of 381360 in words is "three hundred eighty-one thousand, three hundred sixty".