3285728264 has 128 divisors (see below), whose sum is σ = 7823692800. Its totient is φ = 1259089920.

The previous prime is 3285728249. The next prime is 3285728291. The reversal of 3285728264 is 4628275823.

Together with 4537964535 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (47).

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 31 ways as a sum of consecutive naturals, for example, 3729104 + ... + 3729984.

It is an arithmetic number, because the mean of its divisors is an integer number (61122600).

Almost surely, 2^3285728264 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 3285728264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911846400).

3285728264 is an abundant number, since it is smaller than the sum of its proper divisors (4537964536).

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

3285728264 is a wasteful number, since it uses less digits than its factorization.

3285728264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1059 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 47.

The square root of 3285728264 is about 57321.2723515450. The cubic root of 3285728264 is about 1486.6562050470.

The spelling of 3285728264 in words is "three billion, two hundred eighty-five million, seven hundred twenty-eight thousand, two hundred sixty-four".