309984090318 has 320 divisors, whose sum is σ = 888707635200. Its totient is φ = 78617226240.

The previous prime is 309984090307. The next prime is 309984090373. The reversal of 309984090318 is 813090489903.

It is a super-2 number, since 2×309984090318² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 87539628 + ... + 87543168.

It is an arithmetic number, because the mean of its divisors is an integer number (2777211360).

Almost surely, 2^309984090318 is an apocalyptic number.

309984090318 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 309984090318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444353817600).

309984090318 is an abundant number, since it is smaller than the sum of its proper divisors (578723544882).

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

309984090318 is a wasteful number, since it uses less digits than its factorization.

309984090318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 309984090318 in words is "three hundred nine billion, nine hundred eighty-four million, ninety thousand, three hundred eighteen".