381234144 has 48 divisors (see below), whose sum is σ = 1001745360. Its totient is φ = 126950400.

The previous prime is 381234143. The next prime is 381234179. The reversal of 381234144 is 441432183.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381234143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181452 + ... + 183540.

It is an arithmetic number, because the mean of its divisors is an integer number (20869695).

Almost surely, 2^381234144 is an apocalyptic number.

It is an amenable number.

381234144 is an abundant number, since it is smaller than the sum of its proper divisors (620511216).

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

381234144 is a wasteful number, since it uses less digits than its factorization.

381234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3995 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 381234144 is about 19525.2181549913. The cubic root of 381234144 is about 725.0989283949.

The spelling of 381234144 in words is "three hundred eighty-one million, two hundred thirty-four thousand, one hundred forty-four".