363834016 has 108 divisors (see below), whose sum is σ = 902928222. Its totient is φ = 143829504.

The previous prime is 363834013. The next prime is 363834019. The reversal of 363834016 is 610438363.

It is an interprime number because it is at equal distance from previous prime (363834013) and next prime (363834019).

It can be written as a sum of positive squares in 3 ways, for example, as 296528400 + 67305616 = 17220^2 + 8204^2 .

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (363834013) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 264306 + ... + 265678.

Almost surely, 2^363834016 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 363834016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451464111).

363834016 is an abundant number, since it is smaller than the sum of its proper divisors (539094206).

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

363834016 is a wasteful number, since it uses less digits than its factorization.

363834016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 363834016 is about 19074.4335695716. The cubic root of 363834016 is about 713.8951531295.

The spelling of 363834016 in words is "three hundred sixty-three million, eight hundred thirty-four thousand, sixteen".