3946752 has 72 divisors (see below), whose sum is σ = 11691680. Its totient is φ = 1313280.

The previous prime is 3946741. The next prime is 3946757. The reversal of 3946752 is 2576493.

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

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

It is not an unprimeable number, because it can be changed into a prime (3946757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6627 + ... + 7197.

Almost surely, 2^3946752 is an apocalyptic number.

3946752 is a gapful number since it is divisible by the number (32) 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 3946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845840).

3946752 is an abundant number, since it is smaller than the sum of its proper divisors (7744928).

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

3946752 is an equidigital number, since it uses as much as digits as its factorization.

3946752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 576 counting only the distinct ones).

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

The square root of 3946752 is about 1986.6434003112. The cubic root of 3946752 is about 158.0325735330.

The spelling of 3946752 in words is "three million, nine hundred forty-six thousand, seven hundred fifty-two".