3963997440 has 720 divisors, whose sum is σ = 16266994128. Its totient is φ = 913047552.

The previous prime is 3963997439. The next prime is 3963997451. The reversal of 3963997440 is 447993693.

It can be written as a sum of positive squares in 8 ways, for example, as 58247424 + 3905750016 = 7632^2 + 62496^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 22913194 + ... + 22913366.

Almost surely, 2^3963997440 is an apocalyptic number.

3963997440 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 3963997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133497064).

3963997440 is an abundant number, since it is smaller than the sum of its proper divisors (12302996688).

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

3963997440 is a wasteful number, since it uses less digits than its factorization.

3963997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3963997440 is about 62960.2846245155. The cubic root of 3963997440 is about 1582.6241496455.

The spelling of 3963997440 in words is "three billion, nine hundred sixty-three million, nine hundred ninety-seven thousand, four hundred forty".