3284841600 has 960 divisors, whose sum is σ = 13773672000. Its totient is φ = 766402560.

The previous prime is 3284841587. The next prime is 3284841607. The reversal of 3284841600 is 61484823.

3284841600 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 8 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3284841607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 113270386 + ... + 113270414.

It is an arithmetic number, because the mean of its divisors is an integer number (14347575).

Almost surely, 2^3284841600 is an apocalyptic number.

3284841600 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 3284841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886836000).

3284841600 is an abundant number, since it is smaller than the sum of its proper divisors (10488830400).

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

3284841600 is a wasteful number, since it uses less digits than its factorization.

3284841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3284841600 is about 57313.5376678146. The cubic root of 3284841600 is about 1486.5224667482.

The spelling of 3284841600 in words is "three billion, two hundred eighty-four million, eight hundred forty-one thousand, six hundred".