3260758560 has 192 divisors, whose sum is σ = 10648350720. Its totient is φ = 837872640.

The previous prime is 3260758531. The next prime is 3260758561. The reversal of 3260758560 is 658570623.

It is a super-2 number, since 2×3260758560² = 21265092773226547200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3260758561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6234459 + ... + 6234981.

It is an arithmetic number, because the mean of its divisors is an integer number (55460160).

Almost surely, 2^3260758560 is an apocalyptic number.

3260758560 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 3260758560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324175360).

3260758560 is an abundant number, since it is smaller than the sum of its proper divisors (7387592160).

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

3260758560 is a wasteful number, since it uses less digits than its factorization.

3260758560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 3260758560 is about 57103.0521075713. The cubic root of 3260758560 is about 1482.8807053381.

The spelling of 3260758560 in words is "three billion, two hundred sixty million, seven hundred fifty-eight thousand, five hundred sixty".