34451100 has 108 divisors (see below), whose sum is σ = 109341960. Its totient is φ = 9072000.

The previous prime is 34451089. The next prime is 34451119. The reversal of 34451100 is 115443.

It is a happy number.

34451100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90711 + ... + 91089.

Almost surely, 2^34451100 is an apocalyptic number.

34451100 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 34451100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54670980).

34451100 is an abundant number, since it is smaller than the sum of its proper divisors (74890860).

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

34451100 is a wasteful number, since it uses less digits than its factorization.

34451100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34451100 is about 5869.5059417297. The cubic root of 34451100 is about 325.3876242856.

Adding to 34451100 its reverse (115443), we get a palindrome (34566543).

The spelling of 34451100 in words is "thirty-four million, four hundred fifty-one thousand, one hundred".