3964600 has 48 divisors (see below), whose sum is σ = 9452520. Its totient is φ = 1545600.

The previous prime is 3964589. The next prime is 3964603. The reversal of 3964600 is 64693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8370 + ... + 8830.

Almost surely, 2^3964600 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 3964600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726260).

3964600 is an abundant number, since it is smaller than the sum of its proper divisors (5487920).

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

3964600 is a wasteful number, since it uses less digits than its factorization.

3964600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 3964600 is about 1991.1303322485. The cubic root of 3964600 is about 158.2704336183.

The spelling of 3964600 in words is "three million, nine hundred sixty-four thousand, six hundred".