3410413224 has 128 divisors (see below), whose sum is σ = 9005817600. Its totient is φ = 1074769920.

The previous prime is 3410413217. The next prime is 3410413241. The reversal of 3410413224 is 4223140143.

It is a super-3 number, since 3×3410413224³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3410413194 and 3410413203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8100534 + ... + 8100954.

It is an arithmetic number, because the mean of its divisors is an integer number (70357950).

Almost surely, 2^3410413224 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 3410413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502908800).

3410413224 is an abundant number, since it is smaller than the sum of its proper divisors (5595404376).

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

3410413224 is a wasteful number, since it uses less digits than its factorization.

3410413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3410413224 is about 58398.7433426439. The cubic root of 3410413224 is about 1505.2281599469.

Adding to 3410413224 its reverse (4223140143), we get a palindrome (7633553367).

The spelling of 3410413224 in words is "three billion, four hundred ten million, four hundred thirteen thousand, two hundred twenty-four".