3336964413696 has 243 divisors, whose sum is σ = 10159398664779. Its totient is φ = 1053252135936.

The previous prime is 3336964413637. The next prime is 3336964413719. The reversal of 3336964413696 is 6963144696333.

The square root of 3336964413696 is 1826736.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×3336964413696³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1665982231 + ... + 1665984233.

Almost surely, 2^{3336964413696} is an apocalyptic number.

3336964413696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3336964413696 is the 1826736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3336964413696

3336964413696 is an abundant number, since it is smaller than the sum of its proper divisors (6822434251083).

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

3336964413696 is an frugal number, since it uses more digits than its factorization.

3336964413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 2027 counting only the distinct ones).

The product of its digits is 136048896, while the sum is 63.

The spelling of 3336964413696 in words is "three trillion, three hundred thirty-six billion, nine hundred sixty-four million, four hundred thirteen thousand, six hundred ninety-six".