3985934400000 has 1920 divisors, whose sum is σ = 17262020160000. Its totient is φ = 907683840000.

The previous prime is 3985934399981. The next prime is 3985934400013. The reversal of 3985934400000 is 44395893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3985934400000² (a number of 26 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14817599866 + ... + 14817600134.

It is an arithmetic number, because the mean of its divisors is an integer number (8990635500).

Almost surely, 2^{3985934400000} is an apocalyptic number.

3985934400000 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 3985934400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631010080000).

3985934400000 is an abundant number, since it is smaller than the sum of its proper divisors (13276085760000).

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

3985934400000 is an frugal number, since it uses more digits than its factorization.

3985934400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 3985934400000 its reverse (44395893), we get a palindrome (3985978795893).

The spelling of 3985934400000 in words is "three trillion, nine hundred eighty-five billion, nine hundred thirty-four million, four hundred thousand".