3392821334016 has 364 divisors, whose sum is σ = 10523614795980. Its totient is φ = 1091914629120.

The previous prime is 3392821333991. The next prime is 3392821334017. The reversal of 3392821334016 is 6104331282933.

3392821334016 is a `hidden beast` number, since 3 + 3 + 9 + 28 + 213 + 3 + 401 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2456416751616 + 936404582400 = 1567296^2 + 967680^2 .

It is a super-2 number, since 2×3392821334016² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3392821334017) 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 27 ways as a sum of consecutive naturals, for example, 86573946 + ... + 86613126.

Almost surely, 2^{3392821334016} is an apocalyptic number.

3392821334016 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 3392821334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261807397990).

3392821334016 is an abundant number, since it is smaller than the sum of its proper divisors (7130793461964).

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

3392821334016 is an frugal number, since it uses more digits than its factorization.

3392821334016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39252 (or 39215 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3392821334016 in words is "three trillion, three hundred ninety-two billion, eight hundred twenty-one million, three hundred thirty-four thousand, sixteen".