3320685216000 has 216 divisors, whose sum is σ = 11948794976664. Its totient is φ = 885515980800.

The previous prime is 3320685215993. The next prime is 3320685216019. The reversal of 3320685216000 is 6125860233.

It is a happy number.

3320685216000 is a `hidden beast` number, since 3 + 3 + 20 + 6 + 8 + 5 + 21 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 234844913664 + 3085840302336 = 484608^2 + 1756656^2 .

It is a super-2 number, since 2×3320685216000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5477079 + ... + 6053078.

Almost surely, 2^{3320685216000} is an apocalyptic number.

3320685216000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3320685216000 is an abundant number, since it is smaller than the sum of its proper divisors (8628109760664).

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

3320685216000 is a wasteful number, since it uses less digits than its factorization.

3320685216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530194 (or 11530167 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3320685216000 in words is "three trillion, three hundred twenty billion, six hundred eighty-five million, two hundred sixteen thousand".