34213144 has 64 divisors (see below), whose sum is σ = 77552640. Its totient is φ = 13833600.

The previous prime is 34213141. The next prime is 34213169. The reversal of 34213144 is 44131243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129957 + ... + 130219.

It is an arithmetic number, because the mean of its divisors is an integer number (1211760).

Almost surely, 2^34213144 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 34213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38776320).

34213144 is an abundant number, since it is smaller than the sum of its proper divisors (43339496).

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

34213144 is a wasteful number, since it uses less digits than its factorization.

34213144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 34213144 is about 5849.2002872188. The cubic root of 34213144 is about 324.6367349443.

Adding to 34213144 its reverse (44131243), we get a palindrome (78344387).

The spelling of 34213144 in words is "thirty-four million, two hundred thirteen thousand, one hundred forty-four".