34034100 has 72 divisors (see below), whose sum is σ = 100910208. Its totient is φ = 8851200.

The previous prime is 34034087. The next prime is 34034129. The reversal of 34034100 is 143043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34034100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10917 + ... + 13683.

Almost surely, 2^34034100 is an apocalyptic number.

34034100 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 34034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50455104).

34034100 is an abundant number, since it is smaller than the sum of its proper divisors (66876108).

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

34034100 is a wasteful number, since it uses less digits than its factorization.

34034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34034100 is about 5833.8752129267. The cubic root of 34034100 is about 324.0694486092.

Adding to 34034100 its reverse (143043), we get a palindrome (34177143).

It can be divided in two parts, 3403 and 4100, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 34034100 in words is "thirty-four million, thirty-four thousand, one hundred".