336506768 has 80 divisors (see below), whose sum is σ = 720370560. Its totient is φ = 151345152.

The previous prime is 336506759. The next prime is 336506791. The reversal of 336506768 is 867605633.

It is a super-2 number, since 2×336506768² = 226473609819611648, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2420843 + ... + 2420981.

It is an arithmetic number, because the mean of its divisors is an integer number (9004632).

Almost surely, 2^336506768 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 336506768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360185280).

336506768 is an abundant number, since it is smaller than the sum of its proper divisors (383863792).

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

336506768 is a wasteful number, since it uses less digits than its factorization.

336506768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The square root of 336506768 is about 18344.1208020445. The cubic root of 336506768 is about 695.5546651291.

The spelling of 336506768 in words is "three hundred thirty-six million, five hundred six thousand, seven hundred sixty-eight".