3269828520 has 256 divisors, whose sum is σ = 12494476800. Its totient is φ = 745113600.

The previous prime is 3269828453. The next prime is 3269828521. The reversal of 3269828520 is 258289623.

It is a happy number.

3269828520 is a `hidden beast` number, since 32 + 6 + 98 + 2 + 8 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3269828521) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4664170 + ... + 4664870.

It is an arithmetic number, because the mean of its divisors is an integer number (48806550).

Almost surely, 2^3269828520 is an apocalyptic number.

3269828520 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 3269828520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247238400).

3269828520 is an abundant number, since it is smaller than the sum of its proper divisors (9224648280).

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

3269828520 is a wasteful number, since it uses less digits than its factorization.

3269828520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3269828520 is about 57182.4144296129. The cubic root of 3269828520 is about 1484.2543343435.

The spelling of 3269828520 in words is "three billion, two hundred sixty-nine million, eight hundred twenty-eight thousand, five hundred twenty".