3287492760 has 128 divisors (see below), whose sum is σ = 10140641280. Its totient is φ = 852139008.

The previous prime is 3287492749. The next prime is 3287492771. The reversal of 3287492760 is 672947823.

It is an interprime number because it is at equal distance from previous prime (3287492749) and next prime (3287492771).

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, 1149252 + ... + 1152108.

It is an arithmetic number, because the mean of its divisors is an integer number (79223760).

Almost surely, 2^3287492760 is an apocalyptic number.

3287492760 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 3287492760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070320640).

3287492760 is an abundant number, since it is smaller than the sum of its proper divisors (6853148520).

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

3287492760 is a wasteful number, since it uses less digits than its factorization.

3287492760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 3287492760 is about 57336.6615700635. The cubic root of 3287492760 is about 1486.9222779222.

The spelling of 3287492760 in words is "three billion, two hundred eighty-seven million, four hundred ninety-two thousand, seven hundred sixty".