3283748416 has 189 divisors, whose sum is σ = 7712549091. Its totient is φ = 1386298368.

The previous prime is 3283748411. The next prime is 3283748423. The reversal of 3283748416 is 6148473823.

The square root of 3283748416 is 57304.

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

It can be written as a sum of positive squares in 4 ways, for example, as 421070400 + 2862678016 = 20520^2 + 53504^2 .

Its product of digits (774144) is a multiple of the sum of its prime divisors (63).

It is not an unprimeable number, because it can be changed into a prime (3283748411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113232690 + ... + 113232718.

Almost surely, 2^3283748416 is an apocalyptic number.

3283748416 is the 57304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283748416

3283748416 is an abundant number, since it is smaller than the sum of its proper divisors (4428800675).

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

3283748416 is a wasteful number, since it uses less digits than its factorization.

3283748416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 63 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The cubic root of 3283748416 is about 1486.3575452616.

The spelling of 3283748416 in words is "three billion, two hundred eighty-three million, seven hundred forty-eight thousand, four hundred sixteen".