34320200 has 48 divisors (see below), whose sum is σ = 80376180. Its totient is φ = 13628160.

The previous prime is 34320197. The next prime is 34320211. The reversal of 34320200 is 202343.

It can be written as a sum of positive squares in 6 ways, for example, as 20016676 + 14303524 = 4474^2 + 3782^2 .

It is a super-2 number, since 2×34320200² = 2355752256080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30854 + ... + 31946.

Almost surely, 2^34320200 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 34320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40188090).

34320200 is an abundant number, since it is smaller than the sum of its proper divisors (46055980).

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

34320200 is a wasteful number, since it uses less digits than its factorization.

34320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 34320200 is about 5858.3444760444. The cubic root of 34320200 is about 324.9749882132.

Adding to 34320200 its reverse (202343), we get a palindrome (34522543).

The spelling of 34320200 in words is "thirty-four million, three hundred twenty thousand, two hundred".