3964824 has 48 divisors (see below), whose sum is σ = 10951200. Its totient is φ = 1295424.

The previous prime is 3964819. The next prime is 3964837. The reversal of 3964824 is 4284693.

3964824 = T₃₆₀ + T₃₆₁ + ... + T₄₁₂.

It is a happy number.

3964824 is a `hidden beast` number, since 3 + 9 + 648 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3¹³ + 9⁴ + 6² + 4⁶ + 8³ + 2²¹ + 4⁹ .

It is a zygodrome in base 2.

It is a congruent number.

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, 3297 + ... + 4335.

It is an arithmetic number, because the mean of its divisors is an integer number (228150).

Almost surely, 2^3964824 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 3964824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475600).

3964824 is an abundant number, since it is smaller than the sum of its proper divisors (6986376).

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

3964824 is a wasteful number, since it uses less digits than its factorization.

3964824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1097 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3964824 is about 1991.1865809110. The cubic root of 3964824 is about 158.2734143234.

The spelling of 3964824 in words is "three million, nine hundred sixty-four thousand, eight hundred twenty-four".