3964300 has 36 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 1529920.

The previous prime is 3964297. The next prime is 3964307. The reversal of 3964300 is 34693.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964307) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2217 + ... + 3583.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 2^3964300 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 3964300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

3964300 is an abundant number, since it is smaller than the sum of its proper divisors (4941380).

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

3964300 is a wasteful number, since it uses less digits than its factorization.

3964300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 3964300 is about 1991.0549967291. The cubic root of 3964300 is about 158.2664414268.

Adding to 3964300 its reverse (34693), we get a palindrome (3998993).

The spelling of 3964300 in words is "three million, nine hundred sixty-four thousand, three hundred".