3284179920 has 180 divisors, whose sum is σ = 12830222340. Its totient is φ = 750661632.

The previous prime is 3284179889. The next prime is 3284179949. The reversal of 3284179920 is 299714823.

It can be written as a sum of positive squares in 2 ways, for example, as 2557122624 + 727057296 = 50568^2 + 26964^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11265 + ... + 81824.

It is an arithmetic number, because the mean of its divisors is an integer number (71279013).

Almost surely, 2^3284179920 is an apocalyptic number.

3284179920 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 3284179920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415111170).

3284179920 is an abundant number, since it is smaller than the sum of its proper divisors (9546042420).

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

3284179920 is a wasteful number, since it uses less digits than its factorization.

3284179920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93122 (or 93106 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3284179920 is about 57307.7649189008. The cubic root of 3284179920 is about 1486.4226478064.

The spelling of 3284179920 in words is "three billion, two hundred eighty-four million, one hundred seventy-nine thousand, nine hundred twenty".