3489840 has 120 divisors (see below), whose sum is σ = 12128688. Its totient is φ = 898560.

The previous prime is 3489823. The next prime is 3489841. The reversal of 3489840 is 489843.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 3489795 and 3489804.

It is not an unprimeable number, because it can be changed into a prime (3489841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26575 + ... + 26705.

Almost surely, 2^3489840 is an apocalyptic number.

3489840 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 3489840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064344).

3489840 is an abundant number, since it is smaller than the sum of its proper divisors (8638848).

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

3489840 is a wasteful number, since it uses less digits than its factorization.

3489840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3489840 is about 1868.1113457179. Note that the first 3 decimals coincide. The cubic root of 3489840 is about 151.6823931418.

The spelling of 3489840 in words is "three million, four hundred eighty-nine thousand, eight hundred forty".