3366675097600 has 144 divisors (see below), whose sum is σ = 8351559216000. Its totient is φ = 1345985495040.

The previous prime is 3366675097571. The next prime is 3366675097607. The reversal of 3366675097600 is 67905766633.

It is a super-2 number, since 2×3366675097600² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3366675097607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107453137 + ... + 107484463.

It is an arithmetic number, because the mean of its divisors is an integer number (57996939000).

Almost surely, 2^{3366675097600} 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 3366675097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175779608000).

3366675097600 is an abundant number, since it is smaller than the sum of its proper divisors (4984884118400).

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

3366675097600 is a wasteful number, since it uses less digits than its factorization.

3366675097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33458 (or 33433 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 58.

The spelling of 3366675097600 in words is "three trillion, three hundred sixty-six billion, six hundred seventy-five million, ninety-seven thousand, six hundred".