3289538355840 has 768 divisors, whose sum is σ = 12971620247040. Its totient is φ = 789966950400.

The previous prime is 3289538355823. The next prime is 3289538355847. The reversal of 3289538355840 is 485538359823.

3289538355840 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 5 + 38 + 3 + 558 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (3289538355847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183038055 + ... + 183056025.

It is an arithmetic number, because the mean of its divisors is an integer number (16890130530).

Almost surely, 2^{3289538355840} is an apocalyptic number.

3289538355840 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 3289538355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485810123520).

3289538355840 is an abundant number, since it is smaller than the sum of its proper divisors (9682081891200).

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

3289538355840 is a wasteful number, since it uses less digits than its factorization.

3289538355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18123 (or 18099 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 3289538355840 in words is "three trillion, two hundred eighty-nine billion, five hundred thirty-eight million, three hundred fifty-five thousand, eight hundred forty".