3368352369312 has 432 divisors, whose sum is σ = 12163520809440. Its totient is φ = 911732516352.

The previous prime is 3368352369301. The next prime is 3368352369379. The reversal of 3368352369312 is 2139632538633.

3368352369312 is a `hidden beast` number, since 3 + 3 + 6 + 83 + 523 + 6 + 9 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3368352369312² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7006818 + ... + 7472094.

It is an arithmetic number, because the mean of its divisors is an integer number (28156298170).

Almost surely, 2^{3368352369312} is an apocalyptic number.

3368352369312 is a gapful number since it is divisible by the number (32) 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 3368352369312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081760404720).

3368352369312 is an abundant number, since it is smaller than the sum of its proper divisors (8795168440128).

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

3368352369312 is a wasteful number, since it uses less digits than its factorization.

3368352369312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465335 (or 465308 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 54.

The spelling of 3368352369312 in words is "three trillion, three hundred sixty-eight billion, three hundred fifty-two million, three hundred sixty-nine thousand, three hundred twelve".