3289208832 has 576 divisors, whose sum is σ = 12234680640. Its totient is φ = 828112896.

The previous prime is 3289208831. The next prime is 3289208833. The reversal of 3289208832 is 2388029823.

It is an interprime number because it is at equal distance from previous prime (3289208831) and next prime (3289208833).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3289208831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62060518 + ... + 62060570.

It is an arithmetic number, because the mean of its divisors is an integer number (21240765).

Almost surely, 2^3289208832 is an apocalyptic number.

3289208832 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 3289208832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117340320).

3289208832 is an abundant number, since it is smaller than the sum of its proper divisors (8945471808).

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

3289208832 is a wasteful number, since it uses less digits than its factorization.

3289208832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3289208832 is about 57351.6244931214. The cubic root of 3289208832 is about 1487.1809575110.

The spelling of 3289208832 in words is "three billion, two hundred eighty-nine million, two hundred eight thousand, eight hundred thirty-two".