3488800 has 108 divisors (see below), whose sum is σ = 10018890. Its totient is φ = 1182720.

The previous prime is 3488783. The next prime is 3488809. The reversal of 3488800 is 88843.

It can be written as a sum of positive squares in 3 ways, for example, as 2039184 + 1449616 = 1428^2 + 1204^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3488809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39156 + ... + 39244.

Almost surely, 2^3488800 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 3488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009445).

3488800 is an abundant number, since it is smaller than the sum of its proper divisors (6530090).

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

3488800 is a wasteful number, since it uses less digits than its factorization.

3488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 3488800 is about 1867.8329689777. The cubic root of 3488800 is about 151.6673241260.

The spelling of 3488800 in words is "three million, four hundred eighty-eight thousand, eight hundred".