3260125440 has 432 divisors, whose sum is σ = 13258365120. Its totient is φ = 729169920.

The previous prime is 3260125439. The next prime is 3260125457. The reversal of 3260125440 is 445210623.

3260125440 is a `hidden beast` number, since 3 + 2 + 601 + 2 + 54 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646371 + ... + 1648349.

It is an arithmetic number, because the mean of its divisors is an integer number (30690660).

Almost surely, 2^3260125440 is an apocalyptic number.

3260125440 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 3260125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629182560).

3260125440 is an abundant number, since it is smaller than the sum of its proper divisors (9998239680).

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

3260125440 is a wasteful number, since it uses less digits than its factorization.

3260125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3260125440 is about 57097.5081768023. The cubic root of 3260125440 is about 1482.7847254013.

The spelling of 3260125440 in words is "three billion, two hundred sixty million, one hundred twenty-five thousand, four hundred forty".