3355100985600 has 2592 divisors, whose sum is σ = 15831470054400. Its totient is φ = 658110873600.

The previous prime is 3355100985569. The next prime is 3355100985601. The reversal of 3355100985600 is 65890015533.

3355100985600 is a `hidden beast` number, since 3 + 3 + 551 + 0 + 0 + 98 + 5 + 6 + 0 + 0 = 666.

It is a super-2 number, since 2×3355100985600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3355100985601) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 5875833315 + ... + 5875833885.

Almost surely, 2^{3355100985600} is an apocalyptic number.

3355100985600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3355100985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7915735027200).

3355100985600 is an abundant number, since it is smaller than the sum of its proper divisors (12476369068800).

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

3355100985600 is a wasteful number, since it uses less digits than its factorization.

3355100985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 3355100985600 in words is "three trillion, three hundred fifty-five billion, one hundred million, nine hundred eighty-five thousand, six hundred".