3359412823104 has 672 divisors, whose sum is σ = 11685491650560. Its totient is φ = 947639347200.

The previous prime is 3359412823103. The next prime is 3359412823111. The reversal of 3359412823104 is 4013282149533.

It is a happy number.

3359412823104 is a `hidden beast` number, since 3 + 3 + 59 + 4 + 1 + 282 + 310 + 4 = 666.

It is a super-2 number, since 2×3359412823104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3359412823104.

It is not an unprimeable number, because it can be changed into a prime (3359412823103) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 119067559 + ... + 119095769.

It is an arithmetic number, because the mean of its divisors is an integer number (17389124480).

Almost surely, 2^{3359412823104} 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 3359412823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842745825280).

3359412823104 is an abundant number, since it is smaller than the sum of its proper divisors (8326078827456).

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

3359412823104 is a wasteful number, since it uses less digits than its factorization.

3359412823104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28301 (or 28279 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3359412823104 in words is "three trillion, three hundred fifty-nine billion, four hundred twelve million, eight hundred twenty-three thousand, one hundred four".