3260874240 has 640 divisors, whose sum is σ = 13199155200. Its totient is φ = 756449280.

The previous prime is 3260874187. The next prime is 3260874251. The reversal of 3260874240 is 424780623.

3260874240 is a `hidden beast` number, since 3 + 2 + 608 + 7 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 3260874195 and 3260874204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17072545 + ... + 17072735.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 2^3260874240 is an apocalyptic number.

3260874240 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 3260874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3260874240 is an abundant number, since it is smaller than the sum of its proper divisors (9938280960).

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

3260874240 is a wasteful number, since it uses less digits than its factorization.

3260874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3260874240 is about 57104.0650041659. The cubic root of 3260874240 is about 1482.8982408909.

The spelling of 3260874240 in words is "three billion, two hundred sixty million, eight hundred seventy-four thousand, two hundred forty".