3937752 has 96 divisors (see below), whose sum is σ = 13147680. Its totient is φ = 1036800.

The previous prime is 3937751. The next prime is 3937753. The reversal of 3937752 is 2577393.

It is a happy number.

3937752 is nontrivially palindromic in base 5.

3937752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3937751) and next prime (3937753).

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 (3937751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6252 + ... + 6852.

It is an arithmetic number, because the mean of its divisors is an integer number (136955).

Almost surely, 2^3937752 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 3937752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573840).

3937752 is an abundant number, since it is smaller than the sum of its proper divisors (9209928).

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

3937752 is a wasteful number, since it uses less digits than its factorization.

3937752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 626 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 3937752 is about 1984.3769803140. The cubic root of 3937752 is about 157.9123585947.

The spelling of 3937752 in words is "three million, nine hundred thirty-seven thousand, seven hundred fifty-two".