3374573683104 has 864 divisors, whose sum is σ = 11509402544640. Its totient is φ = 933567897600.

The previous prime is 3374573683079. The next prime is 3374573683171. The reversal of 3374573683104 is 4013863754733.

3374573683104 is a `hidden beast` number, since 3 + 3 + 7 + 4 + 573 + 68 + 3 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×3374573683104² (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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1519392714 + ... + 1519394934.

It is an arithmetic number, because the mean of its divisors is an integer number (13321067760).

Almost surely, 2^{3374573683104} 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 3374573683104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754701272320).

3374573683104 is an abundant number, since it is smaller than the sum of its proper divisors (8134828861536).

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

3374573683104 is a wasteful number, since it uses less digits than its factorization.

3374573683104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 3374573683104 in words is "three trillion, three hundred seventy-four billion, five hundred seventy-three million, six hundred eighty-three thousand, one hundred four".