34412100 has 72 divisors (see below), whose sum is σ = 100181088. Its totient is φ = 9120000.

The previous prime is 34412087. The next prime is 34412101. The reversal of 34412100 is 121443.

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 34412100.

It is not an unprimeable number, because it can be changed into a prime (34412101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75072 + ... + 75528.

It is an arithmetic number, because the mean of its divisors is an integer number (1391404).

Almost surely, 2^34412100 is an apocalyptic number.

34412100 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 34412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50090544).

34412100 is an abundant number, since it is smaller than the sum of its proper divisors (65768988).

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

34412100 is a wasteful number, since it uses less digits than its factorization.

34412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34412100 is about 5866.1827451930. The cubic root of 34412100 is about 325.2647940621.

Adding to 34412100 its reverse (121443), we get a palindrome (34533543).

The spelling of 34412100 in words is "thirty-four million, four hundred twelve thousand, one hundred".