3401120 has 48 divisors (see below), whose sum is σ = 8323560. Its totient is φ = 1311744.

The previous prime is 3401119. The next prime is 3401129. The reversal of 3401120 is 211043.

It is a happy number.

3401120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3341584 + 59536 = 1828^2 + 244^2 .

It is not an unprimeable number, because it can be changed into a prime (3401129) 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, 4274 + ... + 5006.

Almost surely, 2^3401120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161780).

3401120 is an abundant number, since it is smaller than the sum of its proper divisors (4922440).

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

3401120 is a wasteful number, since it uses less digits than its factorization.

3401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3401120 is about 1844.2125690928. The cubic root of 3401120 is about 150.3859689642.

Adding to 3401120 its reverse (211043), we get a palindrome (3612163).

The spelling of 3401120 in words is "three million, four hundred one thousand, one hundred twenty".