34404100 has 36 divisors (see below), whose sum is σ = 75190500. Its totient is φ = 13663360.

The previous prime is 34404091. The next prime is 34404101. The reversal of 34404100 is 140443.

It can be written as a sum of positive squares in 6 ways, for example, as 1065024 + 33339076 = 1032^2 + 5774^2 .

It is not an unprimeable number, because it can be changed into a prime (34404101) by changing a digit.

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, 13746 + ... + 16054.

It is an arithmetic number, because the mean of its divisors is an integer number (2088625).

Almost surely, 2^34404100 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 34404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37595250).

34404100 is an abundant number, since it is smaller than the sum of its proper divisors (40786400).

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

34404100 is a wasteful number, since it uses less digits than its factorization.

34404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34404100 is about 5865.5008311311. The cubic root of 34404100 is about 325.2395866494.

Adding to 34404100 its reverse (140443), we get a palindrome (34544543).

The spelling of 34404100 in words is "thirty-four million, four hundred four thousand, one hundred".