3607968 has 144 divisors (see below), whose sum is σ = 12065760. Its totient is φ = 935424.

The previous prime is 3607963. The next prime is 3607969. The reversal of 3607968 is 8697063.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3607963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61123 + ... + 61181.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

Almost surely, 2^3607968 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 3607968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880).

3607968 is an abundant number, since it is smaller than the sum of its proper divisors (8457792).

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

3607968 is a wasteful number, since it uses less digits than its factorization.

3607968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3607968 is about 1899.4651878884. The cubic root of 3607968 is about 153.3748763723.

The spelling of 3607968 in words is "three million, six hundred seven thousand, nine hundred sixty-eight".