3356510664416 has 96 divisors (see below), whose sum is σ = 8136100502208. Its totient is φ = 1327357808640.

The previous prime is 3356510664389. The next prime is 3356510664427. The reversal of 3356510664416 is 6144660156533.

3356510664416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3356510664416² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 7687826 + ... + 8112686.

It is an arithmetic number, because the mean of its divisors is an integer number (84751046898).

Almost surely, 2^{3356510664416} 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 3356510664416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068050251104).

3356510664416 is an abundant number, since it is smaller than the sum of its proper divisors (4779589837792).

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

3356510664416 is a wasteful number, since it uses less digits than its factorization.

3356510664416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427604 (or 427596 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 50.

The spelling of 3356510664416 in words is "three trillion, three hundred fifty-six billion, five hundred ten million, six hundred sixty-four thousand, four hundred sixteen".