3414341100 has 144 divisors (see below), whose sum is σ = 10252156320. Its totient is φ = 876288000.

The previous prime is 3414341089. The next prime is 3414341101. The reversal of 3414341100 is 11434143.

It is not an unprimeable number, because it can be changed into a prime (3414341101) 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 47 ways as a sum of consecutive naturals, for example, 5228374 + ... + 5229026.

It is an arithmetic number, because the mean of its divisors is an integer number (71195530).

Almost surely, 2^3414341100 is an apocalyptic number.

3414341100 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 3414341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126078160).

3414341100 is an abundant number, since it is smaller than the sum of its proper divisors (6837815220).

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

3414341100 is a wasteful number, since it uses less digits than its factorization.

3414341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3414341100 is about 58432.3634640941. The cubic root of 3414341100 is about 1505.8058104950.

Adding to 3414341100 its reverse (11434143), we get a palindrome (3425775243).

The spelling of 3414341100 in words is "three billion, four hundred fourteen million, three hundred forty-one thousand, one hundred".