3365966016 has 336 divisors, whose sum is σ = 11686438400. Its totient is φ = 960180480.

The previous prime is 3365966011. The next prime is 3365966063. The reversal of 3365966016 is 6106695633.

3365966016 is a `hidden beast` number, since 3 + 36 + 5 + 9 + 6 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3365966016² = 22659454441733824512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365966011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5334021 + ... + 5334651.

Almost surely, 2^3365966016 is an apocalyptic number.

3365966016 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 3365966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843219200).

3365966016 is an abundant number, since it is smaller than the sum of its proper divisors (8320472384).

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

3365966016 is an frugal number, since it uses more digits than its factorization.

3365966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3365966016 is about 58016.9459382343. The cubic root of 3365966016 is about 1498.6604360684.

The spelling of 3365966016 in words is "three billion, three hundred sixty-five million, nine hundred sixty-six thousand, sixteen".