3369658840704 has 384 divisors, whose sum is σ = 10748199571200. Its totient is φ = 1006890393600.

The previous prime is 3369658840699. The next prime is 3369658840727. The reversal of 3369658840704 is 4070488569633.

3369658840704 is a `hidden beast` number, since 3 + 3 + 6 + 9 + 6 + 588 + 40 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3369658840704² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72145999 + ... + 72192689.

It is an arithmetic number, because the mean of its divisors is an integer number (27990103050).

Almost surely, 2^{3369658840704} 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 3369658840704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374099785600).

3369658840704 is an abundant number, since it is smaller than the sum of its proper divisors (7378540730496).

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

3369658840704 is a wasteful number, since it uses less digits than its factorization.

3369658840704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46864 (or 46849 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3369658840704 in words is "three trillion, three hundred sixty-nine billion, six hundred fifty-eight million, eight hundred forty thousand, seven hundred four".