34000100 has 36 divisors (see below), whose sum is σ = 75505584. Its totient is φ = 13282080.

The previous prime is 34000091. The next prime is 34000117. The reversal of 34000100 is 100043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347 + ... + 8253.

Almost surely, 2^34000100 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 34000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37752792).

34000100 is an abundant number, since it is smaller than the sum of its proper divisors (41505484).

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

34000100 is a wasteful number, since it uses less digits than its factorization.

34000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7964 (or 7957 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 34000100 is about 5830.9604697683. The cubic root of 34000100 is about 323.9614977364.

Adding to 34000100 its reverse (100043), we get a palindrome (34100143).

The spelling of 34000100 in words is "thirty-four million, one hundred", and thus it is an aban number.