3295968 has 96 divisors (see below), whose sum is σ = 9878400. Its totient is φ = 953856.

The previous prime is 3295967. The next prime is 3295991. The reversal of 3295968 is 8695923.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 3¹² + 2³ + 9 + 5⁹ + 9⁶ + 6⁷ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3295967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23643 + ... + 23781.

It is an arithmetic number, because the mean of its divisors is an integer number (102900).

Almost surely, 2^3295968 is an apocalyptic number.

3295968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3295968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939200).

3295968 is an abundant number, since it is smaller than the sum of its proper divisors (6582432).

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

3295968 is a wasteful number, since it uses less digits than its factorization.

3295968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 3295968 is about 1815.4801017913. The cubic root of 3295968 is about 148.8198955938.

The spelling of 3295968 in words is "three million, two hundred ninety-five thousand, nine hundred sixty-eight".