3966300 has 144 divisors (see below), whose sum is σ = 13853280. Its totient is φ = 967680.

The previous prime is 3966293. The next prime is 3966323. The reversal of 3966300 is 36693.

3966300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 35044 + ... + 35156.

Almost surely, 2^3966300 is an apocalyptic number.

3966300 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 3966300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926640).

3966300 is an abundant number, since it is smaller than the sum of its proper divisors (9886980).

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

3966300 is a wasteful number, since it uses less digits than its factorization.

3966300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3966300 is about 1991.5571796963. The cubic root of 3966300 is about 158.2930522338.

The spelling of 3966300 in words is "three million, nine hundred sixty-six thousand, three hundred".