3344968658304 has 2304 divisors, whose sum is σ = 13408851456000. Its totient is φ = 790091366400.

The previous prime is 3344968658299. The next prime is 3344968658309. The reversal of 3344968658304 is 4038568694433.

3344968658304 is a `hidden beast` number, since 3 + 3 + 4 + 49 + 6 + 8 + 6 + 583 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3344968658299) and next prime (3344968658309).

It is a super-2 number, since 2×3344968658304² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344968658309) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30687785802 + ... + 30687785910.

It is an arithmetic number, because the mean of its divisors is an integer number (5819814000).

Almost surely, 2^{3344968658304} 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 3344968658304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704425728000).

3344968658304 is an abundant number, since it is smaller than the sum of its proper divisors (10063882797696).

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

3344968658304 is a wasteful number, since it uses less digits than its factorization.

3344968658304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 3344968658304 in words is "three trillion, three hundred forty-four billion, nine hundred sixty-eight million, six hundred fifty-eight thousand, three hundred four".