3964500 has 72 divisors (see below), whose sum is σ = 12520872. Its totient is φ = 1056000.

The previous prime is 3964489. The next prime is 3964507. The reversal of 3964500 is 54693.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 3392964 = 756^2 + 1842^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964507) 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 23 ways as a sum of consecutive naturals, for example, 4060 + ... + 4940.

It is an arithmetic number, because the mean of its divisors is an integer number (173901).

Almost surely, 2^3964500 is an apocalyptic number.

3964500 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 3964500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260436).

3964500 is an abundant number, since it is smaller than the sum of its proper divisors (8556372).

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

3964500 is a wasteful number, since it uses less digits than its factorization.

3964500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3964500 is about 1991.1052207254. The cubic root of 3964500 is about 158.2691029102.

The spelling of 3964500 in words is "three million, nine hundred sixty-four thousand, five hundred".