34027016100 has 432 divisors, whose sum is σ = 125800448256. Its totient is φ = 7021728000.

The previous prime is 34027016099. The next prime is 34027016129. The reversal of 34027016100 is 161072043.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 26356455 + ... + 26357745.

Almost surely, 2^34027016100 is an apocalyptic number.

34027016100 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 34027016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62900224128).

34027016100 is an abundant number, since it is smaller than the sum of its proper divisors (91773432156).

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

34027016100 is a wasteful number, since it uses less digits than its factorization.

34027016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 34027016100 its reverse (161072043), we get a palindrome (34188088143).

The spelling of 34027016100 in words is "thirty-four billion, twenty-seven million, sixteen thousand, one hundred".