3963009280 has 72 divisors (see below), whose sum is σ = 9671917752. Its totient is φ = 1555267584.

The previous prime is 3963009277. The next prime is 3963009287. The reversal of 3963009280 is 829003693.

It can be written as a sum of positive squares in 4 ways, for example, as 1564360704 + 2398648576 = 39552^2 + 48976^2 .

It is a super-2 number, since 2×3963009280² = 31410885106732236800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3963009287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38632 + ... + 97048.

It is an arithmetic number, because the mean of its divisors is an integer number (134332191).

Almost surely, 2^3963009280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3963009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835958876).

3963009280 is an abundant number, since it is smaller than the sum of its proper divisors (5708908472).

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

3963009280 is an equidigital number, since it uses as much as digits as its factorization.

3963009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58491 (or 58477 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 3963009280 is about 62952.4366486318. The cubic root of 3963009280 is about 1582.4926312416.

The spelling of 3963009280 in words is "three billion, nine hundred sixty-three million, nine thousand, two hundred eighty".