34414003100 has 72 divisors (see below), whose sum is σ = 76373132640. Its totient is φ = 13456558080.

The previous prime is 34414003097. The next prime is 34414003103. The reversal of 34414003100 is 130041443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34414003097) and next prime (34414003103).

It is a super-2 number, since 2×34414003100² (a number of 22 digits) contains 22 as substring.

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 (34414003103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804041 + ... + 845759.

Almost surely, 2^34414003100 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 34414003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38186566320).

34414003100 is an abundant number, since it is smaller than the sum of its proper divisors (41959129540).

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

34414003100 is a wasteful number, since it uses less digits than its factorization.

34414003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41919 (or 41912 counting only the distinct ones).

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

Adding to 34414003100 its reverse (130041443), we get a palindrome (34544044543).

The spelling of 34414003100 in words is "thirty-four billion, four hundred fourteen million, three thousand, one hundred".