3034414100 has 72 divisors (see below), whose sum is σ = 6772649856. Its totient is φ = 1179360000.

The previous prime is 3034414091. The next prime is 3034414109. The reversal of 3034414100 is 14144303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3034414091) and next prime (3034414109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034414109) 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 23 ways as a sum of consecutive naturals, for example, 1109735 + ... + 1112465.

Almost surely, 2^3034414100 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 3034414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386324928).

3034414100 is an abundant number, since it is smaller than the sum of its proper divisors (3738235756).

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

3034414100 is a wasteful number, since it uses less digits than its factorization.

3034414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3034414100 is about 55085.5162451982. The cubic root of 3034414100 is about 1447.7434739091.

Adding to 3034414100 its reverse (14144303), we get a palindrome (3048558403).

It can be divided in two parts, 30344 and 14100, that added together give a palindrome (44444).

The spelling of 3034414100 in words is "three billion, thirty-four million, four hundred fourteen thousand, one hundred".