3268760 has 128 divisors (see below), whose sum is σ = 9331200. Its totient is φ = 1013760.

The previous prime is 3268753. The next prime is 3268781. The reversal of 3268760 is 678623.

3268760 is a nontrivial binomial coefficient, being equal to C(25, 10).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142109 + ... + 142131.

It is an arithmetic number, because the mean of its divisors is an integer number (72900).

Almost surely, 2^3268760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3268760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665600).

3268760 is an abundant number, since it is smaller than the sum of its proper divisors (6062440).

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

3268760 is a wasteful number, since it uses less digits than its factorization.

3268760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 3268760 is about 1807.9712387093. The cubic root of 3268760 is about 148.4092641030.

The spelling of 3268760 in words is "three million, two hundred sixty-eight thousand, seven hundred sixty".