3413324460 has 192 divisors, whose sum is σ = 11812534272. Its totient is φ = 717133824.

The previous prime is 3413324441. The next prime is 3413324461. The reversal of 3413324460 is 644233143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3413324461) 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 63 ways as a sum of consecutive naturals, for example, 1434792 + ... + 1437168.

It is an arithmetic number, because the mean of its divisors is an integer number (61523616).

Almost surely, 2^3413324460 is an apocalyptic number.

3413324460 is a gapful number since it is divisible by the number (30) 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 3413324460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906267136).

3413324460 is an abundant number, since it is smaller than the sum of its proper divisors (8399209812).

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

3413324460 is a wasteful number, since it uses less digits than its factorization.

3413324460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3413324460 is about 58423.6635277179. The cubic root of 3413324460 is about 1505.6563415013.

The spelling of 3413324460 in words is "three billion, four hundred thirteen million, three hundred twenty-four thousand, four hundred sixty".