3386950395660 has 432 divisors, whose sum is σ = 11696939182656. Its totient is φ = 788483331072.

The previous prime is 3386950395649. The next prime is 3386950395667. The reversal of 3386950395660 is 665930596833.

3386950395660 is a `hidden beast` number, since 3 + 3 + 8 + 69 + 5 + 0 + 3 + 9 + 566 + 0 = 666.

3386950395660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3386950395660² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3386950395667) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 546543682 + ... + 546549878.

It is an arithmetic number, because the mean of its divisors is an integer number (27076248108).

Almost surely, 2^{3386950395660} is an apocalyptic number.

3386950395660 is a gapful number since it is divisible by the number (30) 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 3386950395660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848469591328).

3386950395660 is an abundant number, since it is smaller than the sum of its proper divisors (8309988786996).

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

3386950395660 is a wasteful number, since it uses less digits than its factorization.

3386950395660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 63.

The spelling of 3386950395660 in words is "three trillion, three hundred eighty-six billion, nine hundred fifty million, three hundred ninety-five thousand, six hundred sixty".