3784921344 has 252 divisors, whose sum is σ = 12003776316. Its totient is φ = 1186430976.

The previous prime is 3784921339. The next prime is 3784921367. The reversal of 3784921344 is 4431294873.

It can be written as a sum of positive squares in 2 ways, for example, as 2468102400 + 1316818944 = 49680^2 + 36288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3784921344.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 3172012 + ... + 3173204.

It is an arithmetic number, because the mean of its divisors is an integer number (47634033).

Almost surely, 2^3784921344 is an apocalyptic number.

3784921344 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 3784921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001888158).

3784921344 is an abundant number, since it is smaller than the sum of its proper divisors (8218854972).

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

3784921344 is an equidigital number, since it uses as much as digits as its factorization.

3784921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1215 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3784921344 is about 61521.7144104421. The cubic root of 3784921344 is about 1558.4239704425.

The spelling of 3784921344 in words is "three billion, seven hundred eighty-four million, nine hundred twenty-one thousand, three hundred forty-four".