3707968 has 56 divisors (see below), whose sum is σ = 8412480. Its totient is φ = 1605120.

The previous prime is 3707953. The next prime is 3707987. The reversal of 3707968 is 8697073.

It is a self number, because there is not a number n which added to its sum of digits gives 3707968.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16078 + ... + 16306.

Almost surely, 2^3707968 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 3707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206240).

3707968 is an abundant number, since it is smaller than the sum of its proper divisors (4704512).

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

3707968 is a wasteful number, since it uses less digits than its factorization.

3707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 3707968 is about 1925.6084752618. The cubic root of 3707968 is about 154.7789843429.

It can be divided in two parts, 370 and 7968, that added together give a palindrome (8338).

The spelling of 3707968 in words is "three million, seven hundred seven thousand, nine hundred sixty-eight".