3281059656 has 256 divisors, whose sum is σ = 10786406400. Its totient is φ = 904566528.

The previous prime is 3281059627. The next prime is 3281059657. The reversal of 3281059656 is 6569501823.

3281059656 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 0 + 596 + 56 = 666.

3281059656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3281059657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12475381 + ... + 12475643.

It is an arithmetic number, because the mean of its divisors is an integer number (42134400).

Almost surely, 2^3281059656 is an apocalyptic number.

3281059656 is a gapful number since it is divisible by the number (36) 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 3281059656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393203200).

3281059656 is an abundant number, since it is smaller than the sum of its proper divisors (7505346744).

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

3281059656 is a wasteful number, since it uses less digits than its factorization.

3281059656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3281059656 is about 57280.5347042082. The cubic root of 3281059656 is about 1485.9517539239.

The spelling of 3281059656 in words is "three billion, two hundred eighty-one million, fifty-nine thousand, six hundred fifty-six".