3259472832 has 672 divisors, whose sum is σ = 12842565120. Its totient is φ = 790732800.

The previous prime is 3259472791. The next prime is 3259472833. The reversal of 3259472832 is 2382749523.

3259472832 is a `hidden beast` number, since 3 + 2 + 594 + 7 + 28 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3259472832² = 21248326285092200448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3259472833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24881407 + ... + 24881537.

It is an arithmetic number, because the mean of its divisors is an integer number (19110960).

Almost surely, 2^3259472832 is an apocalyptic number.

3259472832 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 3259472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421282560).

3259472832 is an abundant number, since it is smaller than the sum of its proper divisors (9583092288).

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

3259472832 is a wasteful number, since it uses less digits than its factorization.

3259472832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3259472832 is about 57091.7930354267. The cubic root of 3259472832 is about 1482.6857781094.

The spelling of 3259472832 in words is "three billion, two hundred fifty-nine million, four hundred seventy-two thousand, eight hundred thirty-two".