3982949107200 has 1200 divisors, whose sum is σ = 17100607586304. Its totient is φ = 896690995200.

The previous prime is 3982949107187. The next prime is 3982949107283. The reversal of 3982949107200 is 27019492893.

3982949107200 is a `hidden beast` number, since 3 + 9 + 82 + 9 + 491 + 0 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 486255105 + ... + 486263295.

Almost surely, 2^{3982949107200} is an apocalyptic number.

3982949107200 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 3982949107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550303793152).

3982949107200 is an abundant number, since it is smaller than the sum of its proper divisors (13117658479104).

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

3982949107200 is an equidigital number, since it uses as much as digits as its factorization.

3982949107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8305 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 3982949107200 in words is "three trillion, nine hundred eighty-two billion, nine hundred forty-nine million, one hundred seven thousand, two hundred".