363163644 has 72 divisors (see below), whose sum is σ = 982800000. Its totient is φ = 112726944.

The previous prime is 363163643. The next prime is 363163679. The reversal of 363163644 is 446361363.

363163644 is a `hidden beast` number, since 3 + 6 + 3 + 1 + 6 + 3 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 363163599 and 363163608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363163643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35857 + ... + 44855.

It is an arithmetic number, because the mean of its divisors is an integer number (13650000).

Almost surely, 2^363163644 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 363163644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400000).

363163644 is an abundant number, since it is smaller than the sum of its proper divisors (619636356).

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

363163644 is a wasteful number, since it uses less digits than its factorization.

363163644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087 (or 9082 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 363163644 is about 19056.8529406091. The cubic root of 363163644 is about 713.4564278407.

The spelling of 363163644 in words is "three hundred sixty-three million, one hundred sixty-three thousand, six hundred forty-four".