363213312 has 320 divisors, whose sum is σ = 1253919744. Its totient is φ = 90685440.

The previous prime is 363213307. The next prime is 363213317. The reversal of 363213312 is 213312363.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (363213307) and next prime (363213317).

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

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 (363213317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4376023 + ... + 4376105.

Almost surely, 2^363213312 is an apocalyptic number.

363213312 is a gapful number since it is divisible by the number (32) 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 363213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626959872).

363213312 is an abundant number, since it is smaller than the sum of its proper divisors (890706432).

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

363213312 is a wasteful number, since it uses less digits than its factorization.

363213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 363213312 is about 19058.1560493139. The cubic root of 363213312 is about 713.4889515978.

Adding to 363213312 its reverse (213312363), we get a palindrome (576525675).

The spelling of 363213312 in words is "three hundred sixty-three million, two hundred thirteen thousand, three hundred twelve".