3971947200 has 336 divisors, whose sum is σ = 14310396576. Its totient is φ = 958464000.

The previous prime is 3971947193. The next prime is 3971947219. The reversal of 3971947200 is 27491793.

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 47 ways as a sum of consecutive naturals, for example, 3306600 + ... + 3307800.

It is an arithmetic number, because the mean of its divisors is an integer number (42590466).

Almost surely, 2^3971947200 is an apocalyptic number.

3971947200 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 3971947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7155198288).

3971947200 is an abundant number, since it is smaller than the sum of its proper divisors (10338449376).

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

3971947200 is a wasteful number, since it uses less digits than its factorization.

3971947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 3971947200 is about 63023.3861356243. The cubic root of 3971947200 is about 1583.6814225143.

The spelling of 3971947200 in words is "three billion, nine hundred seventy-one million, nine hundred forty-seven thousand, two hundred".