3230889984 has 384 divisors, whose sum is σ = 11604902400. Its totient is φ = 867041280.

The previous prime is 3230889953. The next prime is 3230889989. The reversal of 3230889984 is 4899880323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3230889984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230889989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6579979 + ... + 6580469.

It is an arithmetic number, because the mean of its divisors is an integer number (30221100).

Almost surely, 2^3230889984 is an apocalyptic number.

3230889984 is a gapful number since it is divisible by the number (34) 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 3230889984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802451200).

3230889984 is an abundant number, since it is smaller than the sum of its proper divisors (8374012416).

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

3230889984 is a wasteful number, since it uses less digits than its factorization.

3230889984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 3230889984 is about 56840.9182191843. The cubic root of 3230889984 is about 1478.3390765922.

The spelling of 3230889984 in words is "three billion, two hundred thirty million, eight hundred eighty-nine thousand, nine hundred eighty-four".