3414042100 has 144 divisors (see below), whose sum is σ = 8712942336. Its totient is φ = 1137024000.

The previous prime is 3414042077. The next prime is 3414042109. The reversal of 3414042100 is 12404143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414042109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3627630 + ... + 3628570.

It is an arithmetic number, because the mean of its divisors is an integer number (60506544).

Almost surely, 2^3414042100 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 3414042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356471168).

3414042100 is an abundant number, since it is smaller than the sum of its proper divisors (5298900236).

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

3414042100 is a wasteful number, since it uses less digits than its factorization.

3414042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3414042100 is about 58429.8048944201. The cubic root of 3414042100 is about 1505.7618538362.

Adding to 3414042100 its reverse (12404143), we get a palindrome (3426446243).

The spelling of 3414042100 in words is "three billion, four hundred fourteen million, forty-two thousand, one hundred".