3482280 has 96 divisors (see below), whose sum is σ = 12004200. Its totient is φ = 872448.

The previous prime is 3482273. The next prime is 3482287. The reversal of 3482280 is 822843.

It is an interprime number because it is at equal distance from previous prime (3482273) and next prime (3482287).

It can be written as a sum of positive squares in 4 ways, for example, as 2683044 + 799236 = 1638^2 + 894^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5836 + ... + 6404.

Almost surely, 2^3482280 is an apocalyptic number.

3482280 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 3482280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002100).

3482280 is an abundant number, since it is smaller than the sum of its proper divisors (8521920).

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

3482280 is a wasteful number, since it uses less digits than its factorization.

3482280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3482280 is about 1866.0868147008. The cubic root of 3482280 is about 151.5727846849.

It can be divided in two parts, 348 and 2280, that added together give a triangular number (2628 = T₇₂).

The spelling of 3482280 in words is "three million, four hundred eighty-two thousand, two hundred eighty".