34400212 has 48 divisors (see below), whose sum is σ = 76220928. Its totient is φ = 13194720.

The previous prime is 34400209. The next prime is 34400239. The reversal of 34400212 is 21200443.

34400212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 19803 + ... + 21469.

It is an arithmetic number, because the mean of its divisors is an integer number (1587936).

Almost surely, 2^34400212 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 34400212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38110464).

34400212 is an abundant number, since it is smaller than the sum of its proper divisors (41820716).

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

34400212 is a wasteful number, since it uses less digits than its factorization.

34400212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1754 counting only the distinct ones).

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

The square root of 34400212 is about 5865.1693922682. The cubic root of 34400212 is about 325.2273344358.

Adding to 34400212 its reverse (21200443), we get a palindrome (55600655).

The spelling of 34400212 in words is "thirty-four million, four hundred thousand, two hundred twelve".