3883782400 has 243 divisors, whose sum is σ = 10399030383. Its totient is φ = 1435852800.

The previous prime is 3883782377. The next prime is 3883782433. The reversal of 3883782400 is 42873883.

The square root of 3883782400 is 62320.

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

3883782400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1634746624 + 2249035776 = 40432^2 + 47424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 94726380 + ... + 94726420.

Almost surely, 2^3883782400 is an apocalyptic number.

3883782400 is the 62320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3883782400

3883782400 is an abundant number, since it is smaller than the sum of its proper divisors (6515247983).

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

3883782400 is an equidigital number, since it uses as much as digits as its factorization.

3883782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The cubic root of 3883782400 is about 1571.8760485588.

The spelling of 3883782400 in words is "three billion, eight hundred eighty-three million, seven hundred eighty-two thousand, four hundred".