3488832 has 70 divisors (see below), whose sum is σ = 10357358. Its totient is φ = 1161216.

The previous prime is 3488809. The next prime is 3488839. The reversal of 3488832 is 2388843.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2742336 + 746496 = 1656^2 + 864^2 .

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

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3488839) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4848 + ... + 5520.

Almost surely, 2^3488832 is an apocalyptic number.

3488832 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 3488832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178679).

3488832 is an abundant number, since it is smaller than the sum of its proper divisors (6868526).

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

3488832 is an equidigital number, since it uses as much as digits as its factorization.

3488832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3488832 is about 1867.8415350345. The cubic root of 3488832 is about 151.6677878327.

It can be divided in two parts, 348 and 8832, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 3488832 in words is "three million, four hundred eighty-eight thousand, eight hundred thirty-two".