3990963600000 has 1152 divisors, whose sum is σ = 15760262372400. Its totient is φ = 963256320000.

The previous prime is 3990963599963. The next prime is 3990963600023. The reversal of 3990963600000 is 63690993.

3990963600000 is a `hidden beast` number, since 3 + 9 + 9 + 0 + 9 + 636 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 2461309148736 + 1529654451264 = 1568856^2 + 1236792^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2480399196 + ... + 2480400804.

Almost surely, 2^{3990963600000} is an apocalyptic number.

3990963600000 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 3990963600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880131186200).

3990963600000 is an abundant number, since it is smaller than the sum of its proper divisors (11769298772400).

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

3990963600000 is a wasteful number, since it uses less digits than its factorization.

3990963600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The spelling of 3990963600000 in words is "three trillion, nine hundred ninety billion, nine hundred sixty-three million, six hundred thousand".