3482688 has 112 divisors (see below), whose sum is σ = 10753344. Its totient is φ = 983040.

The previous prime is 3482669. The next prime is 3482693. The reversal of 3482688 is 8862843.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 35856 + ... + 35952.

It is an arithmetic number, because the mean of its divisors is an integer number (96012).

Almost surely, 2^3482688 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 3482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376672).

3482688 is an abundant number, since it is smaller than the sum of its proper divisors (7270656).

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

3482688 is a wasteful number, since it uses less digits than its factorization.

3482688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 3482688 is about 1866.1961311716. The cubic root of 3482688 is about 151.5787041094.

The spelling of 3482688 in words is "three million, four hundred eighty-two thousand, six hundred eighty-eight".