3982406400000 has 2592 divisors, whose sum is σ = 17920748467440. Its totient is φ = 846397440000.

The previous prime is 3982406399963. The next prime is 3982406400023. The reversal of 3982406400000 is 46042893.

It is a happy number.

3982406400000 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 4 + 0 + 640 + 0 + 0 + 0 + 0 = 666.

3982406400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 47980799959 + ... + 47980800041.

Almost surely, 2^{3982406400000} is an apocalyptic number.

3982406400000 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 3982406400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960374233720).

3982406400000 is an abundant number, since it is smaller than the sum of its proper divisors (13938342067440).

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

3982406400000 is an equidigital number, since it uses as much as digits as its factorization.

3982406400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3982406400000 in words is "three trillion, nine hundred eighty-two billion, four hundred six million, four hundred thousand".