381844368 has 140 divisors (see below), whose sum is σ = 1168285840. Its totient is φ = 120512448.

The previous prime is 381844313. The next prime is 381844369. The reversal of 381844368 is 863448183.

381844368 is a `hidden beast` number, since 38 + 184 + 436 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (381844369) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 220755 + ... + 222477.

Almost surely, 2^381844368 is an apocalyptic number.

381844368 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 381844368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584142920).

381844368 is an abundant number, since it is smaller than the sum of its proper divisors (786441472).

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

381844368 is a wasteful number, since it uses less digits than its factorization.

381844368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1747 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 381844368 is about 19540.8384671692. The cubic root of 381844368 is about 725.4855996862.

The spelling of 381844368 in words is "three hundred eighty-one million, eight hundred forty-four thousand, three hundred sixty-eight".