3285587040 has 96 divisors (see below), whose sum is σ = 10369023840. Its totient is φ = 874512384.

The previous prime is 3285587033. The next prime is 3285587051. The reversal of 3285587040 is 407855823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3285586983 and 3285587001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 261216 + ... + 273504.

It is an arithmetic number, because the mean of its divisors is an integer number (108010665).

Almost surely, 2^3285587040 is an apocalyptic number.

3285587040 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 3285587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184511920).

3285587040 is an abundant number, since it is smaller than the sum of its proper divisors (7083436800).

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

3285587040 is a wasteful number, since it uses less digits than its factorization.

3285587040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12864 (or 12856 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 3285587040 is about 57320.0404745147. The cubic root of 3285587040 is about 1486.6349054013.

The spelling of 3285587040 in words is "three billion, two hundred eighty-five million, five hundred eighty-seven thousand, forty".