3287609856 has 100 divisors (see below), whose sum is σ = 9812773542. Its totient is φ = 1095856128.

The previous prime is 3287609851. The next prime is 3287609863. The reversal of 3287609856 is 6589067823.

It is a happy number.

3287609856 is a `hidden beast` number, since 3 + 28 + 7 + 609 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3137792256 + 149817600 = 56016^2 + 12240^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3287609851) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1836 + ... + 81108.

Almost surely, 2^3287609856 is an apocalyptic number.

3287609856 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 3287609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906386771).

3287609856 is an abundant number, since it is smaller than the sum of its proper divisors (6525163686).

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

3287609856 is an frugal number, since it uses more digits than its factorization.

3287609856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79303 (or 79278 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3287609856 is about 57337.6826877404. The cubic root of 3287609856 is about 1486.9399317592.

The spelling of 3287609856 in words is "three billion, two hundred eighty-seven million, six hundred nine thousand, eight hundred fifty-six".