3960325440 has 448 divisors, whose sum is σ = 15076627200. Its totient is φ = 974979072.

The previous prime is 3960325433. The next prime is 3960325459. The reversal of 3960325440 is 445230693.

3960325440 is a `hidden beast` number, since 3 + 9 + 603 + 2 + 5 + 4 + 40 = 666.

It is a super-2 number, since 2×3960325440² = 31368355181422387200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3960325395 and 3960325404.

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 63 ways as a sum of consecutive naturals, for example, 8665692 + ... + 8666148.

Almost surely, 2^3960325440 is an apocalyptic number.

3960325440 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 3960325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538313600).

3960325440 is an abundant number, since it is smaller than the sum of its proper divisors (11116301760).

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

3960325440 is a wasteful number, since it uses less digits than its factorization.

3960325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3960325440 is about 62931.1166276271. The cubic root of 3960325440 is about 1582.1353172376.

The spelling of 3960325440 in words is "three billion, nine hundred sixty million, three hundred twenty-five thousand, four hundred forty".