336813984 has 192 divisors, whose sum is σ = 1070254080. Its totient is φ = 102435840.

The previous prime is 336813959. The next prime is 336813991. The reversal of 336813984 is 489318633.

It is a super-2 number, since 2×336813984² = 226887319635904512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763329 + ... + 1763519.

It is an arithmetic number, because the mean of its divisors is an integer number (5574240).

Almost surely, 2^336813984 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 336813984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535127040).

336813984 is an abundant number, since it is smaller than the sum of its proper divisors (733440096).

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

336813984 is a wasteful number, since it uses less digits than its factorization.

336813984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 336813984 is about 18352.4925827529. The cubic root of 336813984 is about 695.7662711024.

The spelling of 336813984 in words is "three hundred thirty-six million, eight hundred thirteen thousand, nine hundred eighty-four".