3481688 has 32 divisors (see below), whose sum is σ = 7564800. Its totient is φ = 1471392.

The previous prime is 3481657. The next prime is 3481691. The reversal of 3481688 is 8861843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4031 + ... + 4817.

It is an arithmetic number, because the mean of its divisors is an integer number (236400).

Almost surely, 2^3481688 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 3481688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782400).

3481688 is an abundant number, since it is smaller than the sum of its proper divisors (4083112).

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

3481688 is a wasteful number, since it uses less digits than its factorization.

3481688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 3481688 is about 1865.9281872569. The cubic root of 3481688 is about 151.5641948937.

The spelling of 3481688 in words is "three million, four hundred eighty-one thousand, six hundred eighty-eight".