3286690680 has 768 divisors, whose sum is σ = 13605580800. Its totient is φ = 627056640.

The previous prime is 3286690679. The next prime is 3286690697. The reversal of 3286690680 is 860966823.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45023124 + ... + 45023196.

It is an arithmetic number, because the mean of its divisors is an integer number (17715600).

Almost surely, 2^3286690680 is an apocalyptic number.

3286690680 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 3286690680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802790400).

3286690680 is an abundant number, since it is smaller than the sum of its proper divisors (10318890120).

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

3286690680 is a wasteful number, since it uses less digits than its factorization.

3286690680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3286690680 is about 57329.6666656976. Note that the first 5 decimals coincide. The cubic root of 3286690680 is about 1486.8013420284.

The spelling of 3286690680 in words is "three billion, two hundred eighty-six million, six hundred ninety thousand, six hundred eighty".