3963042720 has 768 divisors, whose sum is σ = 18106260480. Its totient is φ = 785645568.

The previous prime is 3963042701. The next prime is 3963042779. The reversal of 3963042720 is 272403693.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682744 + ... + 6683336.

It is an arithmetic number, because the mean of its divisors is an integer number (23575860).

Almost surely, 2^3963042720 is an apocalyptic number.

3963042720 is a gapful number since it is divisible by the number (30) 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 3963042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9053130240).

3963042720 is an abundant number, since it is smaller than the sum of its proper divisors (14143217760).

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

3963042720 is a wasteful number, since it uses less digits than its factorization.

3963042720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3963042720 is about 62952.7022454160. The cubic root of 3963042720 is about 1582.4970822704.

The spelling of 3963042720 in words is "three billion, nine hundred sixty-three million, forty-two thousand, seven hundred twenty".