3966110400 has 336 divisors, whose sum is σ = 15239024640. Its totient is φ = 884121600.

The previous prime is 3966110399. The next prime is 3966110413. The reversal of 3966110400 is 40116693.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1376161 + ... + 1379039.

It is an arithmetic number, because the mean of its divisors is an integer number (45354240).

Almost surely, 2^3966110400 is an apocalyptic number.

3966110400 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 3966110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619512320).

3966110400 is an abundant number, since it is smaller than the sum of its proper divisors (11272914240).

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

3966110400 is a wasteful number, since it uses less digits than its factorization.

3966110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3966110400 is about 62977.0624910372. The cubic root of 3966110400 is about 1582.9052991321.

The spelling of 3966110400 in words is "three billion, nine hundred sixty-six million, one hundred ten thousand, four hundred".