34412 has 12 divisors (see below), whose sum is σ = 68880. Its totient is φ = 14736.

The previous prime is 34403. The next prime is 34421. The reversal of 34412 is 21443.

34412 = T₆₃ + T₆₄ + ... + T₇₆.

It is an interprime number because it is at equal distance from previous prime (34403) and next prime (34421).

34412 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is an unprimeable number.

34412 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 587 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (5740).

2³⁴⁴¹² is an apocalyptic number.

It is an amenable number.

34412 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34440).

34412 is a wasteful number, since it uses less digits than its factorization.

34412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1238 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 34412 is about 185.5047169212. The cubic root of 34412 is about 32.5264478994.

Adding to 34412 its reverse (21443), we get a palindrome (55855).

It can be divided in two parts, 3441 and 2, that added together give a palindrome (3443).

The spelling of 34412 in words is "thirty-four thousand, four hundred twelve".