336979968 has 96 divisors (see below), whose sum is σ = 967730400. Its totient is φ = 103661568.

The previous prime is 336979961. The next prime is 336979999. The reversal of 336979968 is 869979633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×336979968² = 227110997666562048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336979961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77763 + ... + 81981.

It is an arithmetic number, because the mean of its divisors is an integer number (10080525).

Almost surely, 2^336979968 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 336979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483865200).

336979968 is an abundant number, since it is smaller than the sum of its proper divisors (630750432).

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

336979968 is a wasteful number, since it uses less digits than its factorization.

336979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4237 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 60.

The square root of 336979968 is about 18357.0141362913. The cubic root of 336979968 is about 695.8805449634.

The spelling of 336979968 in words is "three hundred thirty-six million, nine hundred seventy-nine thousand, nine hundred sixty-eight".