3964464 has 200 divisors, whose sum is σ = 14403840. Its totient is φ = 1026432.

The previous prime is 3964463. The next prime is 3964481. The reversal of 3964464 is 4644693.

3964464 = 72³ + 73³ + ... + 80³.

3964464 is a `hidden beast` number, since 3 + 9 + 644 + 6 + 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.

Its product of digits (62208) is a multiple of the sum of its prime divisors (54).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3964463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172357 + ... + 172379.

Almost surely, 2^3964464 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 3964464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7201920).

3964464 is an abundant number, since it is smaller than the sum of its proper divisors (10439376).

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

3964464 is a wasteful number, since it uses less digits than its factorization.

3964464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3964464 is about 1991.0961804996. The cubic root of 3964464 is about 158.2686238498.

The spelling of 3964464 in words is "three million, nine hundred sixty-four thousand, four hundred sixty-four".