336848882961680 has 80 divisors (see below), whose sum is σ = 783591471936000. Its totient is φ = 134667683589120.

The previous prime is 336848882961649. The next prime is 336848882961691. The reversal of 336848882961680 is 86169288848633.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×336848882961680³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a junction number, because it is equal to n+sod(n) for n = 336848882961595 and 336848882961604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721232635 + ... + 1721428325.

It is an arithmetic number, because the mean of its divisors is an integer number (9794893399200).

Almost surely, 2^{336848882961680} is an apocalyptic number.

It is an amenable number.

336848882961680 is an abundant number, since it is smaller than the sum of its proper divisors (446742588974320).

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

336848882961680 is a wasteful number, since it uses less digits than its factorization.

336848882961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207072 (or 207066 counting only the distinct ones).

The product of its (nonzero) digits is 4586471424, while the sum is 80.

The spelling of 336848882961680 in words is "three hundred thirty-six trillion, eight hundred forty-eight billion, eight hundred eighty-two million, nine hundred sixty-one thousand, six hundred eighty".