381838016 has 56 divisors (see below), whose sum is σ = 870508800. Its totient is φ = 162784512.

The previous prime is 381838013. The next prime is 381838021. The reversal of 381838016 is 610838183.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-5 number, since 5×381838016⁵ (a number of 44 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (381838013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87011 + ... + 91293.

It is an arithmetic number, because the mean of its divisors is an integer number (15544800).

Almost surely, 2^381838016 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 381838016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435254400).

381838016 is an abundant number, since it is smaller than the sum of its proper divisors (488670784).

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

381838016 is a wasteful number, since it uses less digits than its factorization.

381838016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4491 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 381838016 is about 19540.6759350847. The cubic root of 381838016 is about 725.4815768342.

The spelling of 381838016 in words is "three hundred eighty-one million, eight hundred thirty-eight thousand, sixteen".