3368347706304 has 280 divisors, whose sum is σ = 11427029053440. Its totient is φ = 961053755904.

The previous prime is 3368347706299. The next prime is 3368347706333. The reversal of 3368347706304 is 4036077438633.

It is a happy number.

3368347706304 is a `hidden beast` number, since 3 + 36 + 83 + 477 + 0 + 63 + 0 + 4 = 666.

It is a super-2 number, since 2×3368347706304² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26317537 + ... + 26445215.

It is an arithmetic number, because the mean of its divisors is an integer number (40810818048).

Almost surely, 2^{3368347706304} 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 3368347706304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713514526720).

3368347706304 is an abundant number, since it is smaller than the sum of its proper divisors (8058681347136).

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

3368347706304 is a wasteful number, since it uses less digits than its factorization.

3368347706304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128437 (or 128418 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 3368347706304 in words is "three trillion, three hundred sixty-eight billion, three hundred forty-seven million, seven hundred six thousand, three hundred four".