3288793104 has 165 divisors, whose sum is σ = 9722746783. Its totient is φ = 1077683616.

The previous prime is 3288793097. The next prime is 3288793117. The reversal of 3288793104 is 4013978823.

The square root of 3288793104 is 57348.

It is a perfect power (a square), and thus also a powerful number.

3288793104 is a `hidden beast` number, since 328 + 8 + 7 + 9 + 310 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3288793104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 55742227 + ... + 55742285.

Almost surely, 2^3288793104 is an apocalyptic number.

3288793104 is the 57348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3288793104

3288793104 is an abundant number, since it is smaller than the sum of its proper divisors (6433953679).

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

3288793104 is an frugal number, since it uses more digits than its factorization.

3288793104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The cubic root of 3288793104 is about 1487.1182991995.

The spelling of 3288793104 in words is "three billion, two hundred eighty-eight million, seven hundred ninety-three thousand, one hundred four".