3964320 has 72 divisors (see below), whose sum is σ = 13533156. Its totient is φ = 1056768.

The previous prime is 3964319. The next prime is 3964333. The reversal of 3964320 is 234693.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 138384 = 1956^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 2816.

Almost surely, 2^3964320 is an apocalyptic number.

3964320 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 3964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766578).

3964320 is an abundant number, since it is smaller than the sum of its proper divisors (9568836).

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

3964320 is a wasteful number, since it uses less digits than its factorization.

3964320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3964320 is about 1991.0600191858. The cubic root of 3964320 is about 158.2667075792.

The spelling of 3964320 in words is "three million, nine hundred sixty-four thousand, three hundred twenty".