3964752 has 60 divisors (see below), whose sum is σ = 12109344. Its totient is φ = 1200960.

The previous prime is 3964733. The next prime is 3964759. The reversal of 3964752 is 2574693.

3964752 is a `hidden beast` number, since 3 + 9 + 647 + 5 + 2 = 666.

3964752 is nontrivially palindromic in base 5.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964759) 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 11 ways as a sum of consecutive naturals, for example, 333 + ... + 2835.

Almost surely, 2^3964752 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 3964752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054672).

3964752 is an abundant number, since it is smaller than the sum of its proper divisors (8144592).

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

3964752 is a wasteful number, since it uses less digits than its factorization.

3964752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2519 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3964752 is about 1991.1685011570. The cubic root of 3964752 is about 158.2724562518.

The spelling of 3964752 in words is "three million, nine hundred sixty-four thousand, seven hundred fifty-two".