3362004050688 has 432 divisors, whose sum is σ = 10263635246592. Its totient is φ = 1097566848000.

The previous prime is 3362004050681. The next prime is 3362004050693. The reversal of 3362004050688 is 8860504002633.

It is a happy number.

3362004050688 is a `hidden beast` number, since 3 + 3 + 6 + 20 + 0 + 40 + 506 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3362004050688² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3362004050681) 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 47 ways as a sum of consecutive naturals, for example, 22264927413 + ... + 22264927563.

Almost surely, 2^{3362004050688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3362004050688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131817623296).

3362004050688 is an abundant number, since it is smaller than the sum of its proper divisors (6901631195904).

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

3362004050688 is an frugal number, since it uses more digits than its factorization.

3362004050688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3362004050688 in words is "three trillion, three hundred sixty-two billion, four million, fifty thousand, six hundred eighty-eight".