34414304100 has 288 divisors, whose sum is σ = 110323938816. Its totient is φ = 8213529600.

The previous prime is 34414304083. The next prime is 34414304101. The reversal of 34414304100 is 140341443.

It is not an unprimeable number, because it can be changed into a prime (34414304101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73692067 + ... + 73692533.

It is an arithmetic number, because the mean of its divisors is an integer number (383069232).

Almost surely, 2^34414304100 is an apocalyptic number.

34414304100 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 34414304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55161969408).

34414304100 is an abundant number, since it is smaller than the sum of its proper divisors (75909634716).

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

34414304100 is a wasteful number, since it uses less digits than its factorization.

34414304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34414304100 its reverse (140341443), we get a palindrome (34554645543).

The spelling of 34414304100 in words is "thirty-four billion, four hundred fourteen million, three hundred four thousand, one hundred".