3963009280000 has 240 divisors, whose sum is σ = 10088936397540. Its totient is φ = 1555267584000.

The previous prime is 3963009279979. The next prime is 3963009280019. The reversal of 3963009280000 is 829003693.

It can be written as a sum of positive squares in 10 ways, for example, as 21545542656 + 3941463737344 = 146784^2 + 1985312^2 .

It is a super-2 number, since 2×3963009280000² (a number of 26 digits) 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 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 19 ways as a sum of consecutive naturals, for example, 67810792 + ... + 67869208.

Almost surely, 2^{3963009280000} 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 3963009280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044468198770).

3963009280000 is an abundant number, since it is smaller than the sum of its proper divisors (6125927117540).

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

3963009280000 is an frugal number, since it uses more digits than its factorization.

3963009280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58512 (or 58477 counting only the distinct ones).

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

The spelling of 3963009280000 in words is "three trillion, nine hundred sixty-three billion, nine million, two hundred eighty thousand".