34013200 has 120 divisors (see below), whose sum is σ = 91271936. Its totient is φ = 12096000.

The previous prime is 34013197. The next prime is 34013237. The reversal of 34013200 is 231043.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161095 + ... + 161305.

Almost surely, 2^34013200 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 34013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45635968).

34013200 is an abundant number, since it is smaller than the sum of its proper divisors (57258736).

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

34013200 is a wasteful number, since it uses less digits than its factorization.

34013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 34013200 is about 5832.0836756686. The cubic root of 34013200 is about 324.0030990914.

Adding to 34013200 its reverse (231043), we get a palindrome (34244243).

The spelling of 34013200 in words is "thirty-four million, thirteen thousand, two hundred".