3706848 has 72 divisors (see below), whose sum is σ = 10764936. Its totient is φ = 1209600.

The previous prime is 3706837. The next prime is 3706861. The reversal of 3706848 is 8486073.

3706848 is nontrivially palindromic in base 11.

3706848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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).

3706848 is an undulating number in base 14.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17463 + ... + 17673.

It is an arithmetic number, because the mean of its divisors is an integer number (149513).

Almost surely, 2^3706848 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 3706848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382468).

3706848 is an abundant number, since it is smaller than the sum of its proper divisors (7058088).

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

3706848 is a wasteful number, since it uses less digits than its factorization.

3706848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3706848 is about 1925.3176361318. The cubic root of 3706848 is about 154.7633989945.

It can be divided in two parts, 3706 and 848, that added together give a palindrome (4554).

The spelling of 3706848 in words is "three million, seven hundred six thousand, eight hundred forty-eight".