3260947536 has 480 divisors, whose sum is σ = 12033515520. Its totient is φ = 799718400.

The previous prime is 3260947513. The next prime is 3260947541. The reversal of 3260947536 is 6357490623.

3260947536 is a `hidden beast` number, since 3 + 2 + 609 + 4 + 7 + 5 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3260947491 and 3260947500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18217495 + ... + 18217673.

It is an arithmetic number, because the mean of its divisors is an integer number (25069824).

Almost surely, 2^3260947536 is an apocalyptic number.

3260947536 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 3260947536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016757760).

3260947536 is an abundant number, since it is smaller than the sum of its proper divisors (8772567984).

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

3260947536 is a wasteful number, since it uses less digits than its factorization.

3260947536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3260947536 is about 57104.7067762369. The cubic root of 3260947536 is about 1482.9093513771.

The spelling of 3260947536 in words is "three billion, two hundred sixty million, nine hundred forty-seven thousand, five hundred thirty-six".