3965472784 has 135 divisors (see below), whose sum is σ = 9734136183. Its totient is φ = 1559690496.

The previous prime is 3965472781. The next prime is 3965472821. The reversal of 3965472784 is 4872745693.

The square root of 3965472784 is 62972.

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 31674384 + 3933798400 = 5628^2 + 62720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3965472781) 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, 22921722 + ... + 22921894.

Almost surely, 2^3965472784 is an apocalyptic number.

3965472784 is the 62972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965472784

3965472784 is an abundant number, since it is smaller than the sum of its proper divisors (5768663399).

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

3965472784 is a wasteful number, since it uses less digits than its factorization.

3965472784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 195 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 55.

The cubic root of 3965472784 is about 1582.8204687623.

The spelling of 3965472784 in words is "three billion, nine hundred sixty-five million, four hundred seventy-two thousand, seven hundred eighty-four".