3488672 has 72 divisors (see below), whose sum is σ = 8144388. Its totient is φ = 1464320.

The previous prime is 3488659. The next prime is 3488677. The reversal of 3488672 is 2768843.

3488672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3254416 + 234256 = 1804^2 + 484^2 .

It is not an unprimeable number, because it can be changed into a prime (3488677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65798 + ... + 65850.

Almost surely, 2^3488672 is an apocalyptic number.

3488672 is a gapful number since it is divisible by the number (32) 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 3488672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072194).

3488672 is an abundant number, since it is smaller than the sum of its proper divisors (4655716).

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

3488672 is a wasteful number, since it uses less digits than its factorization.

3488672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 3488672 is about 1867.7987043576. The cubic root of 3488672 is about 151.6654692710.

The spelling of 3488672 in words is "three million, four hundred eighty-eight thousand, six hundred seventy-two".