312324324330 has 64 divisors (see below), whose sum is σ = 767050518528. Its totient is φ = 81352192320.

The previous prime is 312324324311. The next prime is 312324324331. The reversal of 312324324330 is 33423423213.

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

It is not an unprimeable number, because it can be changed into a prime (312324324331) 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, 489045 + ... + 929415.

It is an arithmetic number, because the mean of its divisors is an integer number (11985164352).

Almost surely, 2^312324324330 is an apocalyptic number.

312324324330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312324324330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383525259264).

312324324330 is an abundant number, since it is smaller than the sum of its proper divisors (454726194198).

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

312324324330 is a wasteful number, since it uses less digits than its factorization.

312324324330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440931.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 312324324330 its reverse (33423423213), we get a palindrome (345747747543).

The spelling of 312324324330 in words is "three hundred twelve billion, three hundred twenty-four million, three hundred twenty-four thousand, three hundred thirty".