3259855872 has 528 divisors, whose sum is σ = 12160162560. Its totient is φ = 822362112.

The previous prime is 3259855831. The next prime is 3259855883. The reversal of 3259855872 is 2785589523.

3259855872 is a `hidden beast` number, since 3 + 2 + 59 + 8 + 5 + 587 + 2 = 666.

Its product of digits (6048000) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141732853 + ... + 141732875.

Almost surely, 2^3259855872 is an apocalyptic number.

3259855872 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 3259855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080081280).

3259855872 is an abundant number, since it is smaller than the sum of its proper divisors (8900306688).

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

3259855872 is a wasteful number, since it uses less digits than its factorization.

3259855872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 48 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The square root of 3259855872 is about 57095.1475346198. The cubic root of 3259855872 is about 1482.7438555700.

The spelling of 3259855872 in words is "three billion, two hundred fifty-nine million, eight hundred fifty-five thousand, eight hundred seventy-two".