3268244880 has 120 divisors (see below), whose sum is σ = 10988542968. Its totient is φ = 870524928.

The previous prime is 3268244851. The next prime is 3268244893. The reversal of 3268244880 is 884428623.

3268244880 is a `hidden beast` number, since 326 + 8 + 244 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 315843984 + 2952400896 = 17772^2 + 54336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784884 + ... + 789036.

Almost surely, 2^3268244880 is an apocalyptic number.

3268244880 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 3268244880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494271484).

3268244880 is an abundant number, since it is smaller than the sum of its proper divisors (7720298088).

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

3268244880 is a wasteful number, since it uses less digits than its factorization.

3268244880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3268244880 is about 57168.5654883871. The cubic root of 3268244880 is about 1484.0146781362.

The spelling of 3268244880 in words is "three billion, two hundred sixty-eight million, two hundred forty-four thousand, eight hundred eighty".