3268236816 has 320 divisors, whose sum is σ = 10770144000. Its totient is φ = 940584960.

The previous prime is 3268236781. The next prime is 3268236823. The reversal of 3268236816 is 6186328623.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 11630596 + ... + 11630876.

It is an arithmetic number, because the mean of its divisors is an integer number (33656700).

Almost surely, 2^3268236816 is an apocalyptic number.

3268236816 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 3268236816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385072000).

3268236816 is an abundant number, since it is smaller than the sum of its proper divisors (7501907184).

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

3268236816 is a wasteful number, since it uses less digits than its factorization.

3268236816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3268236816 is about 57168.4949600739. The cubic root of 3268236816 is about 1484.0134575928.

The spelling of 3268236816 in words is "three billion, two hundred sixty-eight million, two hundred thirty-six thousand, eight hundred sixteen".