3378864384 has 243 divisors, whose sum is σ = 11398531053. Its totient is φ = 959809536.

The previous prime is 3378864343. The next prime is 3378864389. The reversal of 3378864384 is 4834688733.

The square root of 3378864384 is 58128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3073593600 + 305270784 = 55440^2 + 17472^2 .

It is a super-2 number, since 2×3378864384² = 22833449050927398912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3378864384.

It is not an unprimeable number, because it can be changed into a prime (3378864389) 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 26 ways as a sum of consecutive naturals, for example, 19530922 + ... + 19531094.

Almost surely, 2^3378864384 is an apocalyptic number.

3378864384 is the 58128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378864384

3378864384 is an abundant number, since it is smaller than the sum of its proper divisors (8019666669).

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

3378864384 is an equidigital number, since it uses as much as digits as its factorization.

3378864384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 185 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The cubic root of 3378864384 is about 1500.5722829670.

The spelling of 3378864384 in words is "three billion, three hundred seventy-eight million, eight hundred sixty-four thousand, three hundred eighty-four".