3488100 has 144 divisors (see below), whose sum is σ = 12665856. Its totient is φ = 720000.

The previous prime is 3488099. The next prime is 3488119. The reversal of 3488100 is 18843.

3488100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3488100² = 24333683220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23025 + ... + 23175.

Almost surely, 2^3488100 is an apocalyptic number.

3488100 is a gapful number since it is divisible by the number (30) 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 3488100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332928).

3488100 is an abundant number, since it is smaller than the sum of its proper divisors (9177756).

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

3488100 is a wasteful number, since it uses less digits than its factorization.

3488100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3488100 is about 1867.6455766553. The cubic root of 3488100 is about 151.6571798330.

It can be divided in two parts, 348 and 8100, that added together give a palindrome (8448).

The spelling of 3488100 in words is "three million, four hundred eighty-eight thousand, one hundred".