3404208384 has 504 divisors, whose sum is σ = 11460891960. Its totient is φ = 1003290624.

The previous prime is 3404208377. The next prime is 3404208389. The reversal of 3404208384 is 4838024043.

It can be written as a sum of positive squares in 4 ways, for example, as 1684281600 + 1719926784 = 41040^2 + 41472^2 .

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 (3404208389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 92005614 + ... + 92005650.

It is an arithmetic number, because the mean of its divisors is an integer number (22739865).

Almost surely, 2^3404208384 is an apocalyptic number.

3404208384 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 3404208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730445980).

3404208384 is an abundant number, since it is smaller than the sum of its proper divisors (8056683576).

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

3404208384 is an equidigital number, since it uses as much as digits as its factorization.

3404208384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3404208384 is about 58345.5943838093. The cubic root of 3404208384 is about 1504.3147447514.

The spelling of 3404208384 in words is "three billion, four hundred four million, two hundred eight thousand, three hundred eighty-four".