363742320 has 80 divisors (see below), whose sum is σ = 1134034560. Its totient is φ = 96444672.

The previous prime is 363742279. The next prime is 363742321. The reversal of 363742320 is 23247363.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363742321) 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 15 ways as a sum of consecutive naturals, for example, 38727 + ... + 47193.

It is an arithmetic number, because the mean of its divisors is an integer number (14175432).

Almost surely, 2^363742320 is an apocalyptic number.

363742320 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 363742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567017280).

363742320 is an abundant number, since it is smaller than the sum of its proper divisors (770292240).

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

363742320 is a wasteful number, since it uses less digits than its factorization.

363742320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8662 (or 8656 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 363742320 is about 19072.0297818559. The cubic root of 363742320 is about 713.8351744696.

Adding to 363742320 its reverse (23247363), we get a palindrome (386989683).

The spelling of 363742320 in words is "three hundred sixty-three million, seven hundred forty-two thousand, three hundred twenty".