3410413420 has 48 divisors (see below), whose sum is σ = 7338592800. Its totient is φ = 1330592256.

The previous prime is 3410413399. The next prime is 3410413429. The reversal of 3410413420 is 243140143.

It is a junction number, because it is equal to n+sod(n) for n = 3410413391 and 3410413400.

It is not an unprimeable number, because it can be changed into a prime (3410413429) 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, 731256 + ... + 735904.

It is an arithmetic number, because the mean of its divisors is an integer number (152887350).

Almost surely, 2^3410413420 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 3410413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669296400).

3410413420 is an abundant number, since it is smaller than the sum of its proper divisors (3928179380).

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

3410413420 is a wasteful number, since it uses less digits than its factorization.

3410413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5552 counting only the distinct ones).

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

The square root of 3410413420 is about 58398.7450207622. The cubic root of 3410413420 is about 1505.2281887825.

Adding to 3410413420 its reverse (243140143), we get a palindrome (3653553563).

It can be divided in two parts, 34104 and 13420, that added together give a square (47524 = 218²).

The spelling of 3410413420 in words is "three billion, four hundred ten million, four hundred thirteen thousand, four hundred twenty".