3312775065600 has 5616 divisors, whose sum is σ = 17701665770880. Its totient is φ = 601974374400.

The previous prime is 3312775065541. The next prime is 3312775065631. The reversal of 3312775065600 is 65605772133.

3312775065600 is a `hidden beast` number, since 3 + 3 + 12 + 7 + 75 + 0 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a super-2 number, since 2×3312775065600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 174356582391 + ... + 174356582409.

Almost surely, 2^{3312775065600} is an apocalyptic number.

3312775065600 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 3312775065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8850832885440).

3312775065600 is an abundant number, since it is smaller than the sum of its proper divisors (14388890705280).

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

3312775065600 is a wasteful number, since it uses less digits than its factorization.

3312775065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 3312775065600 in words is "three trillion, three hundred twelve billion, seven hundred seventy-five million, sixty-five thousand, six hundred".