3413124 has 144 divisors (see below), whose sum is σ = 11067840. Its totient is φ = 898560.

The previous prime is 3413119. The next prime is 3413129. The reversal of 3413124 is 4213143.

It is an interprime number because it is at equal distance from previous prime (3413119) and next prime (3413129).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3413097 and 3413106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200764 + ... + 200780.

It is an arithmetic number, because the mean of its divisors is an integer number (76860).

Almost surely, 2^3413124 is an apocalyptic number.

3413124 is a gapful number since it is divisible by the number (34) 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 3413124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533920).

3413124 is an abundant number, since it is smaller than the sum of its proper divisors (7654716).

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

3413124 is a wasteful number, since it uses less digits than its factorization.

3413124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 3413124 is about 1847.4642080430. The cubic root of 3413124 is about 150.5626865860.

Adding to 3413124 its reverse (4213143), we get a palindrome (7626267).

The spelling of 3413124 in words is "three million, four hundred thirteen thousand, one hundred twenty-four".