381361344 has 336 divisors, whose sum is σ = 1320832512. Its totient is φ = 94887936.

The previous prime is 381361307. The next prime is 381361381. The reversal of 381361344 is 443163183.

It is an interprime number because it is at equal distance from previous prime (381361307) and next prime (381361381).

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (20736) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5224092 + ... + 5224164.

Almost surely, 2^381361344 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 381361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660416256).

381361344 is an abundant number, since it is smaller than the sum of its proper divisors (939471168).

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

381361344 is a wasteful number, since it uses less digits than its factorization.

381361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 381361344 is about 19528.4752092937. The cubic root of 381361344 is about 725.1795632918.

The spelling of 381361344 in words is "three hundred eighty-one million, three hundred sixty-one thousand, three hundred forty-four".