3259531872 has 144 divisors (see below), whose sum is σ = 9554454000. Its totient is φ = 1053305856.

The previous prime is 3259531823. The next prime is 3259531883. The reversal of 3259531872 is 2781359523.

3259531872 is a `hidden beast` number, since 32 + 5 + 9 + 531 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5317038 + ... + 5317650.

It is an arithmetic number, because the mean of its divisors is an integer number (66350375).

Almost surely, 2^3259531872 is an apocalyptic number.

3259531872 is a gapful number since it is divisible by the number (32) 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 3259531872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777227000).

3259531872 is an abundant number, since it is smaller than the sum of its proper divisors (6294922128).

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

3259531872 is a wasteful number, since it uses less digits than its factorization.

3259531872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1154 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 3259531872 is about 57092.3100951433. The cubic root of 3259531872 is about 1482.6947301950.

The spelling of 3259531872 in words is "three billion, two hundred fifty-nine million, five hundred thirty-one thousand, eight hundred seventy-two".