3287795520 has 112 divisors (see below), whose sum is σ = 10775582208. Its totient is φ = 848455680.

The previous prime is 3287795519. The next prime is 3287795521. The reversal of 3287795520 is 255977823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3287795519) and next prime (3287795521).

It is a super-3 number, since 3×3287795520³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3287795520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287795521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25479 + ... + 84998.

Almost surely, 2^3287795520 is an apocalyptic number.

3287795520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3287795520 is an abundant number, since it is smaller than the sum of its proper divisors (7487786688).

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

3287795520 is a wasteful number, since it uses less digits than its factorization.

3287795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110528 (or 110518 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 3287795520 is about 57339.3017048516. The cubic root of 3287795520 is about 1486.9679223086.

The spelling of 3287795520 in words is "three billion, two hundred eighty-seven million, seven hundred ninety-five thousand, five hundred twenty".