3971300 has 36 divisors (see below), whose sum is σ = 8707776. Its totient is φ = 1572000.

The previous prime is 3971299. The next prime is 3971309. The reversal of 3971300 is 31793.

3971300 = T₁₅₁ + T₁₅₂ + ... + T₃₀₀.

3971300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3971309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14969 + ... + 15231.

Almost surely, 2^3971300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3971300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353888).

3971300 is an abundant number, since it is smaller than the sum of its proper divisors (4736476).

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

3971300 is a wasteful number, since it uses less digits than its factorization.

3971300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 23.

The square root of 3971300 is about 1992.8120834640. The cubic root of 3971300 is about 158.3595401373.

The spelling of 3971300 in words is "three million, nine hundred seventy-one thousand, three hundred".