336000000000 has 560 divisors, whose sum is σ = 1279921743936. Its totient is φ = 76800000000.

The previous prime is 335999999999. The next prime is 336000000031. The reversal of 336000000000 is 633.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×336000000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 47999999997 + ... + 48000000003.

Almost surely, 2^336000000000 is an apocalyptic number.

336000000000 is a gapful number since it is divisible by the number (30) 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 336000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639960871968).

336000000000 is an abundant number, since it is smaller than the sum of its proper divisors (943921743936).

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

336000000000 is an frugal number, since it uses more digits than its factorization.

336000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 336000000000 its reverse (633), we get a palindrome (336000000633).

The spelling of 336000000000 in words is "three hundred thirty-six billion", and thus it is an aban number.