363811968 has 192 divisors, whose sum is σ = 1194593400. Its totient is φ = 105283584.

The previous prime is 363811963. The next prime is 363811979. The reversal of 363811968 is 869118363.

It is a happy number.

363811968 is a `hidden beast` number, since 3 + 638 + 1 + 1 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212226624 + 151585344 = 14568^2 + 12312^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (363811963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253878 + ... + 255306.

Almost surely, 2^363811968 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 363811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597296700).

363811968 is an abundant number, since it is smaller than the sum of its proper divisors (830781432).

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

363811968 is a wasteful number, since it uses less digits than its factorization.

363811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1464 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 363811968 is about 19073.8556144268. The cubic root of 363811968 is about 713.8807323794.

The spelling of 363811968 in words is "three hundred sixty-three million, eight hundred eleven thousand, nine hundred sixty-eight".