3402120 has 32 divisors (see below), whose sum is σ = 10206720. Its totient is φ = 907200.

The previous prime is 3402109. The next prime is 3402127. The reversal of 3402120 is 212043.

3402120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 3402096 and 3402105.

It is not an unprimeable number, because it can be changed into a prime (3402127) 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, 14056 + ... + 14295.

It is an arithmetic number, because the mean of its divisors is an integer number (318960).

Almost surely, 2^3402120 is an apocalyptic number.

3402120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402120 is an abundant number, since it is smaller than the sum of its proper divisors (6804600).

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

3402120 is a wasteful number, since it uses less digits than its factorization.

3402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28365 (or 28361 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3402120 is about 1844.4836675883. The cubic root of 3402120 is about 150.4007063872.

Adding to 3402120 its reverse (212043), we get a palindrome (3614163).

The spelling of 3402120 in words is "three million, four hundred two thousand, one hundred twenty".