3413404120 has 64 divisors (see below), whose sum is σ = 8844422400. Its totient is φ = 1161363840.

The previous prime is 3413404117. The next prime is 3413404123. The reversal of 3413404120 is 214043143.

It is an interprime number because it is at equal distance from previous prime (3413404117) and next prime (3413404123).

It is a junction number, because it is equal to n+sod(n) for n = 3413404091 and 3413404100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413404123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9850 + ... + 83209.

It is an arithmetic number, because the mean of its divisors is an integer number (138194100).

Almost surely, 2^3413404120 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 3413404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422211200).

3413404120 is an abundant number, since it is smaller than the sum of its proper divisors (5431018280).

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

3413404120 is a wasteful number, since it uses less digits than its factorization.

3413404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93208 (or 93204 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3413404120 is about 58424.3452680473. The cubic root of 3413404120 is about 1505.6680543883.

Adding to 3413404120 its reverse (214043143), we get a palindrome (3627447263).

The spelling of 3413404120 in words is "three billion, four hundred thirteen million, four hundred four thousand, one hundred twenty".