3287725056 has 528 divisors, whose sum is σ = 12231692928. Its totient is φ = 825753600.

The previous prime is 3287725039. The next prime is 3287725061. The reversal of 3287725056 is 6505277823.

3287725056 is a `hidden beast` number, since 328 + 77 + 250 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29094856 + ... + 29094968.

Almost surely, 2^3287725056 is an apocalyptic number.

3287725056 is a gapful number since it is divisible by the number (36) 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 3287725056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115846464).

3287725056 is an abundant number, since it is smaller than the sum of its proper divisors (8943967872).

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

3287725056 is a wasteful number, since it uses less digits than its factorization.

3287725056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3287725056 is about 57338.6872538952. The cubic root of 3287725056 is about 1486.9572993390.

The spelling of 3287725056 in words is "three billion, two hundred eighty-seven million, seven hundred twenty-five thousand, fifty-six".