3506688 has 60 divisors (see below), whose sum is σ = 10133838. Its totient is φ = 1167360.

The previous prime is 3506687. The next prime is 3506719. The reversal of 3506688 is 8866053.

It can be written as a sum of positive squares in only one way, i.e., 3504384 + 2304 = 1872^2 + 48^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3506687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4228 + ... + 4988.

Almost surely, 2^3506688 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 3506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066919).

3506688 is an abundant number, since it is smaller than the sum of its proper divisors (6627150).

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

3506688 is an equidigital number, since it uses as much as digits as its factorization.

3506688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3506688 is about 1872.6152835006. The cubic root of 3506688 is about 151.9260951894.

The spelling of 3506688 in words is "three million, five hundred six thousand, six hundred eighty-eight".