3268948896 has 36 divisors (see below), whose sum is σ = 9296074242. Its totient is φ = 1089649536.

The previous prime is 3268948889. The next prime is 3268948909. The reversal of 3268948896 is 6988498623.

3268948896 is a `hidden beast` number, since 3 + 2 + 68 + 9 + 488 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3117658896 + 151290000 = 55836^2 + 12300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5674971 + ... + 5675546.

Almost surely, 2^3268948896 is an apocalyptic number.

3268948896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3268948896 is an abundant number, since it is smaller than the sum of its proper divisors (6027125346).

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

3268948896 is a wasteful number, since it uses less digits than its factorization.

3268948896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350533 (or 11350522 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 3268948896 is about 57174.7225266551. The cubic root of 3268948896 is about 1484.1212281967.

It can be divided in two parts, 326894 and 8896, that added together give a triangular number (335790 = T₈₁₉).

The spelling of 3268948896 in words is "three billion, two hundred sixty-eight million, nine hundred forty-eight thousand, eight hundred ninety-six".