363994344 has 256 divisors, whose sum is σ = 1252800000. Its totient is φ = 97880832.

The previous prime is 363994307. The next prime is 363994349. The reversal of 363994344 is 443499363.

The cubic root of 363994344 is 714.

It is a perfect power (a cube), and thus also a powerful number.

363994344 is a `hidden beast` number, since 3 + 639 + 9 + 4 + 3 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 363994344.

It is not an unprimeable number, because it can be changed into a prime (363994349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21411424 + ... + 21411440.

It is an arithmetic number, because the mean of its divisors is an integer number (4893750).

Almost surely, 2^363994344 is an apocalyptic number.

363994344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363994344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626400000).

363994344 is an abundant number, since it is smaller than the sum of its proper divisors (888805656).

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

363994344 is an equidigital number, since it uses as much as digits as its factorization.

363994344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 29 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 363994344 is about 19078.6358002872.

The spelling of 363994344 in words is "three hundred sixty-three million, nine hundred ninety-four thousand, three hundred forty-four".