34431100 has 72 divisors (see below), whose sum is σ = 82525968. Its totient is φ = 12364800.

The previous prime is 34431083. The next prime is 34431101. The reversal of 34431100 is 113443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34431101) 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 23 ways as a sum of consecutive naturals, for example, 124162 + ... + 124438.

It is an arithmetic number, because the mean of its divisors is an integer number (1146194).

Almost surely, 2^34431100 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 34431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41262984).

34431100 is an abundant number, since it is smaller than the sum of its proper divisors (48094868).

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

34431100 is a wasteful number, since it uses less digits than its factorization.

34431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34431100 is about 5867.8019734821. The cubic root of 34431100 is about 325.3246460138.

Adding to 34431100 its reverse (113443), we get a palindrome (34544543).

It can be divided in two parts, 34 and 431100, that added together give a palindrome (431134).

The spelling of 34431100 in words is "thirty-four million, four hundred thirty-one thousand, one hundred".