381333024 has 72 divisors (see below), whose sum is σ = 1087910460. Its totient is φ = 126701568.

The previous prime is 381333023. The next prime is 381333083. The reversal of 381333024 is 420333183.

It can be written as a sum of positive squares in 2 ways, for example, as 343731600 + 37601424 = 18540^2 + 6132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (381333023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95092 + ... + 99020.

Almost surely, 2^381333024 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 381333024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543955230).

381333024 is an abundant number, since it is smaller than the sum of its proper divisors (706577436).

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

381333024 is a wasteful number, since it uses less digits than its factorization.

381333024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 381333024 is about 19527.7501008181. The cubic root of 381333024 is about 725.1616121684.

The spelling of 381333024 in words is "three hundred eighty-one million, three hundred thirty-three thousand, twenty-four".