34213600 has 36 divisors (see below), whose sum is σ = 83525904. Its totient is φ = 13685120.

The previous prime is 34213577. The next prime is 34213607. The reversal of 34213600 is 631243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20584 + ... + 22183.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^34213600 is an apocalyptic number.

It is an amenable number.

34213600 is an abundant number, since it is smaller than the sum of its proper divisors (49312304).

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

34213600 is a wasteful number, since it uses less digits than its factorization.

34213600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42787 (or 42774 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 34213600 is about 5849.2392667765. The cubic root of 34213600 is about 324.6381772135.

Adding to 34213600 its reverse (631243), we get a palindrome (34844843).

It can be divided in two parts, 3421 and 3600, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 34213600 in words is "thirty-four million, two hundred thirteen thousand, six hundred".