3441313100 has 72 divisors (see below), whose sum is σ = 7726255488. Its totient is φ = 1329062400.

The previous prime is 3441313093. The next prime is 3441313133. The reversal of 3441313100 is 13131443.

It is a super-2 number, since 2×3441313100² = 23685271704463220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1725704 + ... + 1727696.

It is an arithmetic number, because the mean of its divisors is an integer number (107309104).

Almost surely, 2^3441313100 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 3441313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863127744).

3441313100 is an abundant number, since it is smaller than the sum of its proper divisors (4284942388).

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

3441313100 is a wasteful number, since it uses less digits than its factorization.

3441313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3441313100 is about 58662.7062110162. The cubic root of 3441313100 is about 1509.7605134572.

Adding to 3441313100 its reverse (13131443), we get a palindrome (3454444543).

The spelling of 3441313100 in words is "three billion, four hundred forty-one million, three hundred thirteen thousand, one hundred".