309356816384 has 432 divisors, whose sum is σ = 804044650500. Its totient is φ = 118536929280.

The previous prime is 309356816227. The next prime is 309356816399. The reversal of 309356816384 is 483618653903.

It can be written as a sum of positive squares in 2 ways, for example, as 301919478784 + 7437337600 = 549472^2 + 86240^2 .

It is a super-3 number, since 3×309356816384³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 886409042 + ... + 886409390.

Almost surely, 2^309356816384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309356816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402022325250).

309356816384 is an abundant number, since it is smaller than the sum of its proper divisors (494687834116).

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

309356816384 is a wasteful number, since it uses less digits than its factorization.

309356816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 56.

The spelling of 309356816384 in words is "three hundred nine billion, three hundred fifty-six million, eight hundred sixteen thousand, three hundred eighty-four".