3386273903200 has 72 divisors (see below), whose sum is σ = 8267573028960. Its totient is φ = 1354373260800.

The previous prime is 3386273903191. The next prime is 3386273903269. The reversal of 3386273903200 is 23093726833.

It is a super-2 number, since 2×3386273903200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 7936921 + ... + 8352679.

It is an arithmetic number, because the mean of its divisors is an integer number (114827403180).

Almost surely, 2^{3386273903200} is an apocalyptic number.

It is an amenable number.

3386273903200 is an abundant number, since it is smaller than the sum of its proper divisors (4881299125760).

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

3386273903200 is a wasteful number, since it uses less digits than its factorization.

3386273903200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425960 (or 425947 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 46.

The spelling of 3386273903200 in words is "three trillion, three hundred eighty-six billion, two hundred seventy-three million, nine hundred three thousand, two hundred".