3383442676224 has 160 divisors (see below), whose sum is σ = 10785627800640. Its totient is φ = 1041059229696.

The previous prime is 3383442676193. The next prime is 3383442676267. The reversal of 3383442676224 is 4226762443833.

3383442676224 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 4 + 4 + 2 + 6 + 7 + 622 + 4 = 666.

It is a super-2 number, since 2×3383442676224² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9233802 + ... + 9593225.

It is an arithmetic number, because the mean of its divisors is an integer number (67410173754).

Almost surely, 2^{3383442676224} is an apocalyptic number.

It is an amenable number.

3383442676224 is an abundant number, since it is smaller than the sum of its proper divisors (7402185124416).

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

3383442676224 is a wasteful number, since it uses less digits than its factorization.

3383442676224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18827067 (or 18827045 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 54.

The spelling of 3383442676224 in words is "three trillion, three hundred eighty-three billion, four hundred forty-two million, six hundred seventy-six thousand, two hundred twenty-four".