3405120 has 56 divisors (see below), whose sum is σ = 10814304. Its totient is φ = 907776.

The previous prime is 3405113. The next prime is 3405121. The reversal of 3405120 is 215043.

3405120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3405120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405121) 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 7 ways as a sum of consecutive naturals, for example, 814 + ... + 2733.

Almost surely, 2^3405120 is an apocalyptic number.

3405120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3405120 is an abundant number, since it is smaller than the sum of its proper divisors (7409184).

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

3405120 is a wasteful number, since it uses less digits than its factorization.

3405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3405120 is about 1845.2967241070. The cubic root of 3405120 is about 150.4449013363. Note that the first 3 decimals are identical.

It can be divided in two parts, 340 and 5120, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 3405120 in words is "three million, four hundred five thousand, one hundred twenty".