3286687656 has 128 divisors (see below), whose sum is σ = 9963682560. Its totient is φ = 881971200.

The previous prime is 3286687637. The next prime is 3286687681. The reversal of 3286687656 is 6567866823.

It is a junction number, because it is equal to n+sod(n) for n = 3286687596 and 3286687605.

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 31 ways as a sum of consecutive naturals, for example, 1886946 + ... + 1888686.

It is an arithmetic number, because the mean of its divisors is an integer number (77841270).

Almost surely, 2^3286687656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3286687656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981841280).

3286687656 is an abundant number, since it is smaller than the sum of its proper divisors (6676994904).

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

3286687656 is a wasteful number, since it uses less digits than its factorization.

3286687656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2431 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The square root of 3286687656 is about 57329.6402919118. The cubic root of 3286687656 is about 1486.8008860389.

The spelling of 3286687656 in words is "three billion, two hundred eighty-six million, six hundred eighty-seven thousand, six hundred fifty-six".