3355655401600 has 96 divisors (see below), whose sum is σ = 8290061941140. Its totient is φ = 1342174003200.

The previous prime is 3355655401543. The next prime is 3355655401627. The reversal of 3355655401600 is 61045565533.

It can be written as a sum of positive squares in 6 ways, for example, as 1901817516096 + 1453837885504 = 1379064^2 + 1205752^2 .

It is a super-2 number, since 2×3355655401600² (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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72684124 + ... + 72730276.

Almost surely, 2^{3355655401600} is an apocalyptic number.

It is an amenable number.

3355655401600 is an abundant number, since it is smaller than the sum of its proper divisors (4934406539540).

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

3355655401600 is a wasteful number, since it uses less digits than its factorization.

3355655401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68898 (or 68881 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 43.

The spelling of 3355655401600 in words is "three trillion, three hundred fifty-five billion, six hundred fifty-five million, four hundred one thousand, six hundred".