3547968 has 56 divisors (see below), whose sum is σ = 9948672. Its totient is φ = 1112064.

The previous prime is 3547963. The next prime is 3547991. The reversal of 3547968 is 8697453.

It is a happy number.

It is a d-powerful number, because it can be written as 3³ + 5⁷ + 4⁷ + 7⁷ + 9⁶ + 6⁴ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3547961) 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, 2721 + ... + 3807.

Almost surely, 2^3547968 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 3547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974336).

3547968 is an abundant number, since it is smaller than the sum of its proper divisors (6400704).

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

3547968 is a wasteful number, since it uses less digits than its factorization.

3547968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1109 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 3547968 is about 1883.6050541448. The cubic root of 3547968 is about 152.5199185664.

The spelling of 3547968 in words is "three million, five hundred forty-seven thousand, nine hundred sixty-eight".