381306336 has 48 divisors (see below), whose sum is σ = 1005177600. Its totient is φ = 126562688.

The previous prime is 381306323. The next prime is 381306407. The reversal of 381306336 is 633603183.

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

It is a junction number, because it is equal to n+sod(n) for n = 381306297 and 381306306.

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, 14635 + ... + 31253.

It is an arithmetic number, because the mean of its divisors is an integer number (20941200).

Almost surely, 2^381306336 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 381306336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502588800).

381306336 is an abundant number, since it is smaller than the sum of its proper divisors (623871264).

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

381306336 is a wasteful number, since it uses less digits than its factorization.

381306336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16871 (or 16863 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 381306336 is about 19527.0667536115. The cubic root of 381306336 is about 725.1446947031.

The spelling of 381306336 in words is "three hundred eighty-one million, three hundred six thousand, three hundred thirty-six".