3386606076672 has 2304 divisors, whose sum is σ = 13010436096000. Its totient is φ = 772533780480.

The previous prime is 3386606076647. The next prime is 3386606076677. The reversal of 3386606076672 is 2766706066833.

It is a super-2 number, since 2×3386606076672² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3386606076677) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46391864028 + ... + 46391864100.

Almost surely, 2^{3386606076672} is an apocalyptic number.

3386606076672 is a gapful number since it is divisible by the number (32) 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 3386606076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505218048000).

3386606076672 is an abundant number, since it is smaller than the sum of its proper divisors (9623830019328).

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

3386606076672 is a wasteful number, since it uses less digits than its factorization.

3386606076672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 60.

The spelling of 3386606076672 in words is "three trillion, three hundred eighty-six billion, six hundred six million, seventy-six thousand, six hundred seventy-two".