3386556558400 has 84 divisors (see below), whose sum is σ = 8345357183268. Its totient is φ = 1352621271040.

The previous prime is 3386556558383. The next prime is 3386556558401. The reversal of 3386556558400 is 48556556833.

It can be written as a sum of positive squares in 6 ways, for example, as 398332650496 + 2988223907904 = 631136^2 + 1728648^2 .

It is a super-2 number, since 2×3386556558400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3386556558401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480019 + ... + 2646418.

It is an arithmetic number, because the mean of its divisors is an integer number (99349490277).

Almost surely, 2^{3386556558400} is an apocalyptic number.

It is an amenable number.

3386556558400 is an abundant number, since it is smaller than the sum of its proper divisors (4958800624868).

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

3386556558400 is a wasteful number, since it uses less digits than its factorization.

3386556558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127136 (or 3127121 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 58.

The spelling of 3386556558400 in words is "three trillion, three hundred eighty-six billion, five hundred fifty-six million, five hundred fifty-eight thousand, four hundred".