381368 has 32 divisors (see below), whose sum is σ = 814800. Its totient is φ = 165888.

The previous prime is 381347. The next prime is 381371. The reversal of 381368 is 863183.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 381368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1880 + ... + 2072.

2³⁸¹³⁶⁸ is an apocalyptic number.

381368 is a gapful number since it is divisible by the number (38) 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 381368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407400).

381368 is an abundant number, since it is smaller than the sum of its proper divisors (433432).

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

381368 is a wasteful number, since it uses less digits than its factorization.

381368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 381368 is about 617.5499979759. The cubic root of 381368 is about 72.5183782184.

It can be divided in two parts, 38 and 1368, that multiplied together give a square (51984 = 228²).

The spelling of 381368 in words is "three hundred eighty-one thousand, three hundred sixty-eight".