3300645666816 has 210 divisors, whose sum is σ = 9861437341602. Its totient is φ = 1100186910720.

The previous prime is 3300645666761. The next prime is 3300645666817. The reversal of 3300645666816 is 6186665460033.

It can be written as a sum of positive squares in only one way, i.e., 3196600713216 + 104044953600 = 1787904^2 + 322560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300645666817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 84915226 + ... + 84954086.

Almost surely, 2^{3300645666816} is an apocalyptic number.

3300645666816 is a gapful number since it is divisible by the number (36) 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 3300645666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930718670801).

3300645666816 is an abundant number, since it is smaller than the sum of its proper divisors (6560791674786).

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

3300645666816 is an frugal number, since it uses more digits than its factorization.

3300645666816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38913 (or 38866 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3300645666816 in words is "three trillion, three hundred billion, six hundred forty-five million, six hundred sixty-six thousand, eight hundred sixteen".