336840768 has 252 divisors, whose sum is σ = 1106698320. Its totient is φ = 101502720.

The previous prime is 336840767. The next prime is 336840781. The reversal of 336840768 is 867048633.

It is a super-2 number, since 2×336840768² = 226923405973659648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336840767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881703 + ... + 1881881.

It is an arithmetic number, because the mean of its divisors is an integer number (4391660).

Almost surely, 2^336840768 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 336840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553349160).

336840768 is an abundant number, since it is smaller than the sum of its proper divisors (769857552).

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

336840768 is a wasteful number, since it uses less digits than its factorization.

336840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 336840768 is about 18353.2222783902. Note that the first 4 decimals coincide. The cubic root of 336840768 is about 695.7847134383.

The spelling of 336840768 in words is "three hundred thirty-six million, eight hundred forty thousand, seven hundred sixty-eight".