3483480 has 256 divisors, whose sum is σ = 14515200. Its totient is φ = 645120.

The previous prime is 3483463. The next prime is 3483481. The reversal of 3483480 is 843843.

3483480 = T₁₃₁ + T₁₃₂ + ... + T₂₈₄.

3483480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3483480 is a nontrivial binomial coefficient, being equal to C(2640, 2).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 120106 + ... + 120134.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

Almost surely, 2^3483480 is an apocalyptic number.

3483480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3483480 is the 2639-th triangular number and also the 1320-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

3483480 is an abundant number, since it is smaller than the sum of its proper divisors (11031720).

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

3483480 is a wasteful number, since it uses less digits than its factorization.

3483480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3483480 is about 1866.4083154551. The cubic root of 3483480 is about 151.5901934375.

It can be divided in two parts, 348 and 3480, that added together give a triangular number (3828 = T₈₇).

The spelling of 3483480 in words is "three million, four hundred eighty-three thousand, four hundred eighty".