336840336 has 320 divisors, whose sum is σ = 1199923200. Its totient is φ = 88349184.

The previous prime is 336840331. The next prime is 336840337. The reversal of 336840336 is 633048633.

It is a happy number.

It is a super-2 number, since 2×336840336² = 226922823913185792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 336840336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336840331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2016925 + ... + 2017091.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^336840336 is an apocalyptic number.

336840336 is a gapful number since it is divisible by the number (36) 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 336840336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

336840336 is an abundant number, since it is smaller than the sum of its proper divisors (863082864).

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

336840336 is a wasteful number, since it uses less digits than its factorization.

336840336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 336840336 is about 18353.2105093360. The cubic root of 336840336 is about 695.7844159890.

Adding to 336840336 its reverse (633048633), we get a palindrome (969888969).

The spelling of 336840336 in words is "three hundred thirty-six million, eight hundred forty thousand, three hundred thirty-six".