336693312 has 168 divisors, whose sum is σ = 1011006360. Its totient is φ = 107028480.

The previous prime is 336693293. The next prime is 336693317. The reversal of 336693312 is 213396633.

336693312 is a `hidden beast` number, since 336 + 6 + 9 + 3 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 336208896 = 696^2 + 18336^2 .

It is a super-2 number, since 2×336693312² = 226724772691058688, which contains 22 as substring.

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

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 (336693317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1251514 + ... + 1251782.

It is an arithmetic number, because the mean of its divisors is an integer number (6017895).

Almost surely, 2^336693312 is an apocalyptic number.

336693312 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 336693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505503180).

336693312 is an abundant number, since it is smaller than the sum of its proper divisors (674313048).

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

336693312 is a wasteful number, since it uses less digits than its factorization.

336693312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The square root of 336693312 is about 18349.2046694128. The cubic root of 336693312 is about 695.6831693110.

The spelling of 336693312 in words is "three hundred thirty-six million, six hundred ninety-three thousand, three hundred twelve".