361324320 has 192 divisors, whose sum is σ = 1325963520. Its totient is φ = 80990208.

The previous prime is 361324303. The next prime is 361324357. The reversal of 361324320 is 23423163.

361324320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 177066 + ... + 179094.

It is an arithmetic number, because the mean of its divisors is an integer number (6906060).

Almost surely, 2^361324320 is an apocalyptic number.

361324320 is a gapful number since it is divisible by the number (30) 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 361324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662981760).

361324320 is an abundant number, since it is smaller than the sum of its proper divisors (964639200).

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

361324320 is a wasteful number, since it uses less digits than its factorization.

361324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 361324320 is about 19008.5328208150. The cubic root of 361324320 is about 712.2499017573.

Adding to 361324320 its reverse (23423163), we get a palindrome (384747483).

The spelling of 361324320 in words is "three hundred sixty-one million, three hundred twenty-four thousand, three hundred twenty".