3268276128 has 252 divisors, whose sum is σ = 10458993510. Its totient is φ = 1004410368.

The previous prime is 3268276093. The next prime is 3268276139. The reversal of 3268276128 is 8216728623.

3268276128 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 27 + 612 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1765008144 + 1503267984 = 42012^2 + 38772^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3942018 + ... + 3942846.

Almost surely, 2^3268276128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3268276128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229496755).

3268276128 is an abundant number, since it is smaller than the sum of its proper divisors (7190717382).

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

3268276128 is an equidigital number, since it uses as much as digits as its factorization.

3268276128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 847 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 3268276128 is about 57168.8387847785. The cubic root of 3268276128 is about 1484.0194077230.

The spelling of 3268276128 in words is "three billion, two hundred sixty-eight million, two hundred seventy-six thousand, one hundred twenty-eight".