3963654828 has 288 divisors, whose sum is σ = 12587527680. Its totient is φ = 1026432000.

The previous prime is 3963654781. The next prime is 3963654829. The reversal of 3963654828 is 8284563693.

3963654828 is a `hidden beast` number, since 3 + 96 + 3 + 6 + 548 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3963654829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11974623 + ... + 11974953.

Almost surely, 2^3963654828 is an apocalyptic number.

3963654828 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3963654828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6293763840).

3963654828 is an abundant number, since it is smaller than the sum of its proper divisors (8623872852).

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

3963654828 is a wasteful number, since it uses less digits than its factorization.

3963654828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 464 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3963654828 is about 62957.5637076277. The cubic root of 3963654828 is about 1582.5785524374.

The spelling of 3963654828 in words is "three billion, nine hundred sixty-three million, six hundred fifty-four thousand, eight hundred twenty-eight".