34214444100 has 108 divisors (see below), whose sum is σ = 107336973744. Its totient is φ = 9115880640.

The previous prime is 34214444071. The next prime is 34214444111. The reversal of 34214444100 is 144441243.

34214444100 is a `hidden beast` number, since 3 + 4 + 214 + 4 + 441 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1052287 + ... + 1084313.

It is an arithmetic number, because the mean of its divisors is an integer number (993860868).

Almost surely, 2^34214444100 is an apocalyptic number.

34214444100 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 34214444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53668486872).

34214444100 is an abundant number, since it is smaller than the sum of its proper divisors (73122529644).

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

34214444100 is a wasteful number, since it uses less digits than its factorization.

34214444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33234 (or 33224 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34214444100 its reverse (144441243), we get a palindrome (34358885343).

The spelling of 34214444100 in words is "thirty-four billion, two hundred fourteen million, four hundred forty-four thousand, one hundred".