3427968 has 64 divisors (see below), whose sum is σ = 9302400. Its totient is φ = 1118208.

The previous prime is 3427967. The next prime is 3427973. The reversal of 3427968 is 8697243.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3427967) 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, 30280 + ... + 30392.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

Almost surely, 2^3427968 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 3427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651200).

3427968 is an abundant number, since it is smaller than the sum of its proper divisors (5874432).

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

3427968 is a wasteful number, since it uses less digits than its factorization.

3427968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3427968 is about 1851.4772480374. The cubic root of 3427968 is about 150.7806413902.

The spelling of 3427968 in words is "three million, four hundred twenty-seven thousand, nine hundred sixty-eight".